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Finding the Fourth Proportional to 140.38, 210.26 and 86.14

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Solution

The fourth proportional to 140.38, 210.26 and 86.14 is: 129.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.38 : 210.26 = 86.14 : x
  2. Step 2: Convert to fraction form
    140.38/210.26 = 86.14/x
  3. Step 3: Cross multiply
    140.38x = 210.26 × 86.14
  4. Step 4: Simplify right side
    140.38x = 18,111.80
  5. Step 5: Solve for x
    x = 18,111.80/140.38
  6. Step 6: Final answer
    x = 129.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.