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Finding the Fourth Proportional to 140.10, 209.85 and 75.84

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Solution

The fourth proportional to 140.10, 209.85 and 75.84 is: 113.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.10 : 209.85 = 75.84 : x
  2. Step 2: Convert to fraction form
    140.10/209.85 = 75.84/x
  3. Step 3: Cross multiply
    140.10x = 209.85 × 75.84
  4. Step 4: Simplify right side
    140.10x = 15,915.02
  5. Step 5: Solve for x
    x = 15,915.02/140.10
  6. Step 6: Final answer
    x = 113.60

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