Finding the Fourth Proportional to 100.05, 149.98 and 35.88

Step by Step Solution

1. Step 1: Write the proportion equation
   100.05 : 149.98 = 35.88 : x
2. Step 2: Convert to fraction form
   100.05/149.98 = 35.88/x
3. Step 3: Cross multiply
   100.05x = 149.98 × 35.88
4. Step 4: Simplify right side
   100.05x = 5,380.44
5. Step 5: Solve for x
   x = 5,380.44/100.05
6. Step 6: Final answer
   x = 53.78