We are given a ratio table with some values missing. We need to complete the table by finding the missing value, given the ratios between the columns are constant. The table has two columns, where the ratio of values in the first column to the values in the second column is constant. We are given the following pairs: $(4, 5), (8, 10), (?, 30), (?, 35), (76, 95)$. We need to find the two missing values.

ArithmeticRatioProportionMissing Value
2025/3/8

1. Problem Description

We are given a ratio table with some values missing. We need to complete the table by finding the missing value, given the ratios between the columns are constant. The table has two columns, where the ratio of values in the first column to the values in the second column is constant. We are given the following pairs: (4,5),(8,10),(?,30),(?,35),(76,95)(4, 5), (8, 10), (?, 30), (?, 35), (76, 95). We need to find the two missing values.

2. Solution Steps

First, let's find the ratio between the first and second columns using the given pairs. From (4,5)(4, 5), the ratio is 45\frac{4}{5}. From (8,10)(8, 10), the ratio is 810=45\frac{8}{10} = \frac{4}{5}. So, the ratio is 45\frac{4}{5}.
Let the missing values be xx and yy.
For the first missing value, we have x30=45\frac{x}{30} = \frac{4}{5}. Multiplying both sides by 30, we get x=45×30=4×6=24x = \frac{4}{5} \times 30 = 4 \times 6 = 24.
For the second missing value, we have y35=45\frac{y}{35} = \frac{4}{5}. Multiplying both sides by 35, we get y=45×35=4×7=28y = \frac{4}{5} \times 35 = 4 \times 7 = 28.
Therefore, the missing values are 24 and
2
8.

3. Final Answer

24

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