Finding the Fourth Proportional to 105.16, 157.76 and 33.02

Step by Step Solution

1. Step 1: Write the proportion equation
   105.16 : 157.76 = 33.02 : x
2. Step 2: Convert to fraction form
   105.16/157.76 = 33.02/x
3. Step 3: Cross multiply
   105.16x = 157.76 × 33.02
4. Step 4: Simplify right side
   105.16x = 5,209.27
5. Step 5: Solve for x
   x = 5,209.27/105.16
6. Step 6: Final answer
   x = 49.54