Question

Solve for v in the proportion.

20
22
=
90
v


v =

Answer 1

To solve for \( v \) in the proportion

\[
\frac{20}{22} = \frac{90}{v}
\]

you can use cross-multiplication. This means you multiply the numerator of one fraction by the denominator of the other fraction:

\[
20 \cdot v = 22 \cdot 90
\]

Now, calculate \( 22 \cdot 90 \):

\[
22 \cdot 90 = 1980
\]

So, the equation becomes:

\[
20v = 1980
\]

Next, solve for \( v \) by dividing both sides by 20:

\[
v = \frac{1980}{20}
\]

Now, calculate \( \frac{1980}{20} \):

\[
v = 99
\]

Thus, the solution for \( v \) is:

\[
\boxed{99}
\]