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Finding the Fourth Proportional to 140.92, 211.34 and 71.49

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Solution

The fourth proportional to 140.92, 211.34 and 71.49 is: 107.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.92 : 211.34 = 71.49 : x
  2. Step 2: Convert to fraction form
    140.92/211.34 = 71.49/x
  3. Step 3: Cross multiply
    140.92x = 211.34 × 71.49
  4. Step 4: Simplify right side
    140.92x = 15,108.70
  5. Step 5: Solve for x
    x = 15,108.70/140.92
  6. Step 6: Final answer
    x = 107.21

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Why These Related Problems?

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