A ratio of 4:5 corresponds to the values 32 and what?

To find the value that corresponds to the ratio of 4:5 when one value is known (32 in this case), you need to set up a proportion based on the ratio. The ratio 4:5 indicates that for every 4 parts of one quantity, there are 5 parts of another quantity.

In this scenario, if we let the unknown value corresponding to the ratio be represented as x, the equation can be set up as follows:

4/5 = 32/x.

To solve for x, you can cross-multiply, which gives:

4x = 5 * 32.

Calculating the right side, you find:

5 * 32 = 160.

Now, the equation looks like this:

4x = 160.

To isolate x, divide both sides by 4:

x = 160/4 = 40.

Therefore, the value that corresponds to the ratio of 4:5 along with 32 is 40. This confirms that the correct answer aligns accurately with the proportional relationship established by the ratio, making it clear why this value is the answer.