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Finding the Fourth Proportional to 140.78, 194.24 and 82.53

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Solution

The fourth proportional to 140.78, 194.24 and 82.53 is: 113.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.78 : 194.24 = 82.53 : x
  2. Step 2: Convert to fraction form
    140.78/194.24 = 82.53/x
  3. Step 3: Cross multiply
    140.78x = 194.24 × 82.53
  4. Step 4: Simplify right side
    140.78x = 16,029.66
  5. Step 5: Solve for x
    x = 16,029.66/140.78
  6. Step 6: Final answer
    x = 113.87

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