Question

Find the number that makes the ratio equivalent to 32:96.
4: 12

Answer 1

To find the equivalent number for the ratio 32:96 equivalent to 4:12, we simplify 32:96 to 1:3, set up a proportion (1/3 = x/12), and solve for 'x' to find that x is 4.

Step-by-step explanation:

To find the number that makes the ratio equivalent to 32:96, when compared with the ratio 4:12, we can set up a proportion where we solve for the missing number represented here by 'x'.

First, simplify the given ratio:

• 32:96 can be simplified to 1:3 by dividing both numbers by 32.

Then, write a proportion:

• 1/3 = x/12

Now, solve for 'x' by cross-multiplying:

• 1 * 12 = 3 * x
• 12 = 3x

Divide both sides by 3 to find 'x':

• x = 12 / 3
• x = 4

Therefore, the number that makes the ratios equivalent is 4.