Question

solve for z in the propor
\frac{26}{28} = \frac{91}{z}

z = \square

submit

Explanation:

Step1: Cross - multiply the proportion

To solve the proportion $\frac{26}{28}=\frac{91}{z}$, 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 $26\times z=28\times91$.

Step2: Calculate the right - hand side

First, calculate $28\times91$. $28\times91 = 2548$. So the equation becomes $26z = 2548$.

Step3: Solve for z

To solve for $z$, we divide both sides of the equation $26z = 2548$ by 26. So, $z=\frac{2548}{26}$.
Simplify $\frac{2548}{26}$: divide 2548 by 26. $2548\div26 = 98$.

Answer:

98