In a pie chart, if the central angle of a component is `72^(@)` ant its value is 48, then find the central angle of a component of value 108.

Explanation

To find the central angle of a component with a value of 108 in a pie chart, we can use the relationship between the value of a component and its central angle.

### Step-by-Step Solution:

1. **Understand the relationship**: The central angle of a component in a pie chart is proportional to its value. This means that if we know the central angle and value of one component, we can find the central angle of another component using their values.

2. **Set up the proportion**: We know that:
- Central angle of the first component (A) = 72°
- Value of the first component (V1) = 48
- Central angle of the second component (B) = ?
- Value of the second component (V2) = 108

The relationship can be expressed as:
\[ \frac{A}{V1} = \frac{B}{V2} \]

3. **Substitute the known values**:
\[ \frac{72}{48} = \frac{B}{108} \]

4. **Cross-multiply to solve for B**:
\[ 72 \times 108 = 48 \times B \]

5. **Calculate \(72 \times 108\)**:
\[ 72 \times 108 = 7776 \]

6. **Now, substitute back into the equation**:
\[ 7776 = 48 \times B \]

7. **Divide both sides by 48 to find B**:
\[ B = \frac{7776}{48} \]

8. **Calculate \(B\)**:
\[ B = 162 \]

### Final Answer:
The central angle of the component with a value of 108 is **162°**.