Finding the Fourth Proportional to 99.82, 149.76 and 51.69

Step by Step Solution

1. Step 1: Write the proportion equation
   99.82 : 149.76 = 51.69 : x
2. Step 2: Convert to fraction form
   99.82/149.76 = 51.69/x
3. Step 3: Cross multiply
   99.82x = 149.76 × 51.69
4. Step 4: Simplify right side
   99.82x = 7,741.09
5. Step 5: Solve for x
   x = 7,741.09/99.82
6. Step 6: Final answer
   x = 77.55