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Finding the Fourth Proportional to 96.82, 133.78 and 77.56

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Solution

The fourth proportional to 96.82, 133.78 and 77.56 is: 107.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.82 : 133.78 = 77.56 : x
  2. Step 2: Convert to fraction form
    96.82/133.78 = 77.56/x
  3. Step 3: Cross multiply
    96.82x = 133.78 × 77.56
  4. Step 4: Simplify right side
    96.82x = 10,375.98
  5. Step 5: Solve for x
    x = 10,375.98/96.82
  6. Step 6: Final answer
    x = 107.17

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