Question

Solve for v in the proportion.

16
56
=
v
42


v =

Answer 1

To solve for \( v \) in the proportion

\[
\frac{16}{56} = \frac{v}{42}
\]

we can use cross-multiplication. This means we multiply the numbers diagonally across the equal sign:

\[
16 \cdot 42 = 56 \cdot v
\]

Calculating the left side:

\[
16 \cdot 42 = 672
\]

Now we have:

\[
672 = 56v
\]

To isolate \( v \), divide both sides by 56:

\[
v = \frac{672}{56}
\]

Now perform the division:

\[
v = 12
\]

Thus, the value of \( v \) is

\[
\boxed{12}
\]