Finding the Fourth Proportional to 105.38, 158.08 and 35.02

Step by Step Solution

1. Step 1: Write the proportion equation
   105.38 : 158.08 = 35.02 : x
2. Step 2: Convert to fraction form
   105.38/158.08 = 35.02/x
3. Step 3: Cross multiply
   105.38x = 158.08 × 35.02
4. Step 4: Simplify right side
   105.38x = 5,535.96
5. Step 5: Solve for x
   x = 5,535.96/105.38
6. Step 6: Final answer
   x = 52.53