Question

solve for r in the proportion.
\frac{92}{r} = \frac{69}{24}

r = \square

Explanation:

Step1: Cross - multiply the proportion

To solve the proportion \(\frac{92}{r}=\frac{69}{24}\), we use the cross - multiplication property of proportions. If \(\frac{a}{b}=\frac{c}{d}\), then \(a\times d = b\times c\). So, we have \(92\times24=69\times r\).
Calculating the left - hand side: \(92\times24 = 2208\). So the equation becomes \(2208 = 69r\).

Step2: Solve for \(r\)

To find the value of \(r\), we divide both sides of the equation \(2208 = 69r\) by 69. That is, \(r=\frac{2208}{69}\).
Simplifying \(\frac{2208}{69}\), we can divide 2208 by 69: \(2208\div69 = 32\).

Answer:

\(32\)