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Finding the Fourth Proportional to 95.14, 142.68 and 75.85

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Solution

The fourth proportional to 95.14, 142.68 and 75.85 is: 113.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.14 : 142.68 = 75.85 : x
  2. Step 2: Convert to fraction form
    95.14/142.68 = 75.85/x
  3. Step 3: Cross multiply
    95.14x = 142.68 × 75.85
  4. Step 4: Simplify right side
    95.14x = 10,822.28
  5. Step 5: Solve for x
    x = 10,822.28/95.14
  6. Step 6: Final answer
    x = 113.75

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