The problem asks us to find the missing number in the proportion $\frac{5}{4} = \frac{?}{20}$. We need to find the value that makes the two fractions equal.

ArithmeticProportionsFractionsSolving Equations
2025/5/5

1. Problem Description

The problem asks us to find the missing number in the proportion 54=?20\frac{5}{4} = \frac{?}{20}. We need to find the value that makes the two fractions equal.

2. Solution Steps

To find the missing number, we can set up an equation. Let the missing number be xx. Then the equation is:
54=x20\frac{5}{4} = \frac{x}{20}
To solve for xx, we can cross-multiply:
5×20=4×x5 \times 20 = 4 \times x
100=4x100 = 4x
Now, divide both sides of the equation by 4:
1004=4x4\frac{100}{4} = \frac{4x}{4}
25=x25 = x
Therefore, the missing number is
2
5.
Alternatively, we can observe that the denominator on the right side (20) is 5 times the denominator on the left side (4). So, we multiply the numerator on the left side by 5 to get the numerator on the right side:
5×5=255 \times 5 = 25.
So, the missing number is
2
5.

3. Final Answer

25

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