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Finding the Fourth Proportional to 102.78, 141.89 and 73.76

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Solution

The fourth proportional to 102.78, 141.89 and 73.76 is: 101.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.78 : 141.89 = 73.76 : x
  2. Step 2: Convert to fraction form
    102.78/141.89 = 73.76/x
  3. Step 3: Cross multiply
    102.78x = 141.89 × 73.76
  4. Step 4: Simplify right side
    102.78x = 10,464.73
  5. Step 5: Solve for x
    x = 10,464.73/102.78
  6. Step 6: Final answer
    x = 101.82

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