Ratio Table
1. **State the problem:**
We are given a ratio table with paired values where the ratios are consistent. The table is:
| 20 | 7 |
| 40 | ? |
| ? | 21 |
| 80 | 28 |
| 100| ? |
We need to find the missing values maintaining the ratio.
2. **Identify the ratio:**
The first pair is $20$ and $7$, so the ratio is $$\frac{20}{7}$$.
3. **Calculate missing value in row 2:**
Given $40$ in the first column, find the second column value using the ratio:
$$\text{Second value} = \frac{7}{20} \times 40 = 14$$
4. **Calculate missing value in row 3:**
Given $21$ in the second column, find the first column value using the ratio:
$$\text{First value} = \frac{20}{7} \times 21 = 60$$
5. **Check given values in row 4:**
Given $80$ and $28$, check ratio:
$$\frac{80}{28} = \frac{20}{7}$$ correct.
6. **Calculate missing value in row 5:**
Given $100$ in the first column, find the second column value:
$$\text{Second value} = \frac{7}{20} \times 100 = 35$$
7. **Complete table:**
| 20 | 7 |
| 40 | 14 |
| 60 | 21 |
| 80 | 28 |
| 100| 35 |
**Final answer:** The missing values are 14, 60, and 35.