Question

complete the ratio table.
16 13
□□ 26
64 52
80 65
96 □

Explanation:

Step1: Analyze the ratio relationship

First, check the ratio between the first column and the second column. For the first row, \( \frac{16}{13} \), second row: let the first number be \( x \), \( \frac{x}{26} \), third row \( \frac{64}{52}=\frac{16}{13} \), fourth row \( \frac{80}{65}=\frac{16}{13} \). So the ratio is constant \( \frac{16}{13} \).

Step2: Find the missing number in the second row (first column)

Since the ratio is \( \frac{16}{13}=\frac{x}{26} \), cross - multiply: \( 13x = 16\times26 \), \( x=\frac{16\times26}{13}=16\times2 = 32 \).

Step3: Find the missing number in the fifth row (second column)

Let the missing number be \( y \), \( \frac{96}{y}=\frac{16}{13} \), cross - multiply: \( 16y=96\times13 \), \( y = \frac{96\times13}{16}=6\times13 = 78 \).

Answer:

The missing number in the second row (first column) is 32, and the missing number in the fifth row (second column) is 78.