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Finding the Fourth Proportional to 77.76, 116.79 and 66.42

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Solution

The fourth proportional to 77.76, 116.79 and 66.42 is: 99.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.76 : 116.79 = 66.42 : x
  2. Step 2: Convert to fraction form
    77.76/116.79 = 66.42/x
  3. Step 3: Cross multiply
    77.76x = 116.79 × 66.42
  4. Step 4: Simplify right side
    77.76x = 7,757.19
  5. Step 5: Solve for x
    x = 7,757.19/77.76
  6. Step 6: Final answer
    x = 99.76

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