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Finding the Fourth Proportional to 140.02, 209.72 and 85.85

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Solution

The fourth proportional to 140.02, 209.72 and 85.85 is: 128.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.02 : 209.72 = 85.85 : x
  2. Step 2: Convert to fraction form
    140.02/209.72 = 85.85/x
  3. Step 3: Cross multiply
    140.02x = 209.72 × 85.85
  4. Step 4: Simplify right side
    140.02x = 18,004.46
  5. Step 5: Solve for x
    x = 18,004.46/140.02
  6. Step 6: Final answer
    x = 128.58

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