Finding the Fourth Proportional to 99.98, 149.95 and 27.82

Step by Step Solution

1. Step 1: Write the proportion equation
   99.98 : 149.95 = 27.82 : x
2. Step 2: Convert to fraction form
   99.98/149.95 = 27.82/x
3. Step 3: Cross multiply
   99.98x = 149.95 × 27.82
4. Step 4: Simplify right side
   99.98x = 4,171.61
5. Step 5: Solve for x
   x = 4,171.61/99.98
6. Step 6: Final answer
   x = 41.72