Question

Solve for z in the proportion 33/z = 18/24

Answer 1

To solve the proportion 33/z = 18/24, you cross-multiply and then divide to isolate z, resulting in z being equal to 44.

Step-by-step explanation:

To solve for z in the proportion 33/z = 18/24, we can use cross-multiplication. This means we multiply the numerator of one ratio by the denominator of the other ratio, and set that equal to the product of the other numerator and denominator.

Here's the step-by-step solution:

1. Multiply 33 by 24.
2. Multiply 18 by z.
3. Set the two products equal to each other: 33 * 24 = 18 * z.
4. Solve for z by dividing both sides by 18: (33 * 24) / 18 = z.
5. Calculate the result to find z.

Let's do the math:

33 * 24 = 792.

Now divide 792 by 18 to find z:

z = 792 / 18

z = 44

Therefore, z is equal to 44.