Finding the Fourth Proportional to 99.94, 149.93 and 35.82

Step by Step Solution

1. Step 1: Write the proportion equation
   99.94 : 149.93 = 35.82 : x
2. Step 2: Convert to fraction form
   99.94/149.93 = 35.82/x
3. Step 3: Cross multiply
   99.94x = 149.93 × 35.82
4. Step 4: Simplify right side
   99.94x = 5,370.49
5. Step 5: Solve for x
   x = 5,370.49/99.94
6. Step 6: Final answer
   x = 53.74