Question

find the missing number in the proportion
\frac{6}{5} = \frac{x}{20}

Explanation:

Step1: Cross - multiply the proportion

Given the proportion \(\frac{6}{5}=\frac{x}{20}\), cross - multiplying gives us \(5\times x = 6\times20\).

Step2: Solve for \(x\)

First, calculate the right - hand side: \(6\times20 = 120\). So the equation becomes \(5x=120\). Then, divide both sides of the equation by 5: \(x=\frac{120}{5}\).

Step3: Simplify the fraction

\(\frac{120}{5}=24\).

Answer:

\(x = 24\)