Question

complete the ratio table.
2 3
8
18
32 48
84

Explanation:

Step1: Find the ratio

First, check the ratio between the first column and the second column. For the first row, \( \frac{3}{2} = 1.5 \), and for the fourth row, \( \frac{48}{32}=1.5 \). So the ratio of the second number to the first number is \( 1.5=\frac{3}{2} \).

Step2: Calculate the missing value for 8

For the second row, first number is 8, so the second number is \( 8\times\frac{3}{2}=12 \).

Step3: Calculate the missing value for 18

For the third row, first number is 18, so the second number is \( 18\times\frac{3}{2} = 27 \).

Step4: Calculate the missing value for 84

For the last row, second number is 84, so the first number is \( 84\div\frac{3}{2}=84\times\frac{2}{3}=56 \).

Answer:

The completed ratio table (filling the blanks from top to bottom for the middle blanks and the last blank): 12, 27, 56.

So the table becomes:

2	3
8	12
18	27
32	48
56	84