Finding the Fourth Proportional to 100.02, 150.01 and 35.02

Step by Step Solution

1. Step 1: Write the proportion equation
   100.02 : 150.01 = 35.02 : x
2. Step 2: Convert to fraction form
   100.02/150.01 = 35.02/x
3. Step 3: Cross multiply
   100.02x = 150.01 × 35.02
4. Step 4: Simplify right side
   100.02x = 5,253.35
5. Step 5: Solve for x
   x = 5,253.35/100.02
6. Step 6: Final answer
   x = 52.52