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Let's go through the ratio tables one by one and fill in the missing values.

### Table 1:
- The ratio pattern is increasing by a factor of 3. 
- First column: \(1 \to 3 \to 6\).
- Second column: \(3 \to 9 \to 18\). 
- Since 1 multiplied by 3 gives 3, and 3 multiplied by 3 gives 9, we expect \(6 \times 3 = 18\). So, the missing value in the last box of the first column is 6.

### Table 2:
- The ratio pattern shows an increase by a factor of 3.
- First row: \(11 \to 33 \to 54 \to 162\).
- Second row: \(6 \to 18 \to 30 \to 42\). 
- The missing value in the third box is already filled as 54.

### Table 3:
- The ratio seems to involve multiplication by a factor of 5. 
- First row: \(21 \to 35 \to \text{missing} \).
- Second row: \(8 \to 40 \to 72\). 
- Let's find the missing value: \(35 \div 5 = 7\), and similarly \(8 \times 9 = 72\), so \(8 \times 5 = 40\).
- The missing value would be the one corresponding to \(35 \times 2 = 70\).

### Table 4:
- Incomplete, seems to follow the ratio rule of 2. 
- First row: \(3 \to 9 \to 12 \to \text{missing} \).
- Second row: \(7 \to 14 \to \textul.... %@helpers

Complete each ratio table by filling in the missing values.

This lesson involves filling out ratio tables with missing values using multiplication patterns and proportional reasoning. It covers ratio scaling concepts and applies multiplication factor rules to solve the problems. Suitable for Grades 5-6.

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