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Finding the Fourth Proportional to 140.76, 210.11 and 129.22

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Solution

The fourth proportional to 140.76, 210.11 and 129.22 is: 192.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.76 : 210.11 = 129.22 : x
  2. Step 2: Convert to fraction form
    140.76/210.11 = 129.22/x
  3. Step 3: Cross multiply
    140.76x = 210.11 × 129.22
  4. Step 4: Simplify right side
    140.76x = 27,149.24
  5. Step 5: Solve for x
    x = 27,149.24/140.76
  6. Step 6: Final answer
    x = 192.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.