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Finding the Fourth Proportional to 140, 209.84 and 85.92

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Solution

The fourth proportional to 140, 209.84 and 85.92 is: 128.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    140 : 209.84 = 85.92 : x
  2. Step 2: Convert to fraction form
    140/209.84 = 85.92/x
  3. Step 3: Cross multiply
    140x = 209.84 × 85.92
  4. Step 4: Simplify right side
    140x = 18,029.45
  5. Step 5: Solve for x
    x = 18,029.45/140
  6. Step 6: Final answer
    x = 128.78

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