Question

Solve for x. 4:6 :: 120:x?
1) 124
2) 144
3) 140
4) 180

Answer 1

To solve the proportion 4:6 :: 120:x, cross multiply to get 4x = 6*120, then divide by 4 to find x = 180.

Step-by-step explanation:

The question asks to solve for x in the proportion 4:6 :: 120:x. This is a mathematical concept commonly known as a ratio or proportion, where two ratios are set equal to each other. To find the value of x, one can use the method of cross multiplication.

First, set up the proportion as such:

4 / 6 = 120 / x

Next, cross multiply to form an equation:

4 * x = 6 * 120

Now, simplify the equation:

4x = 720

Finally, divide both sides by 4 to solve for x:

x = 720 / 4

x = 180

Therefore, the value of x that satisfies the proportion is 180.