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Finding the Fourth Proportional to 140.60, 211.15 and 106.24

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Solution

The fourth proportional to 140.60, 211.15 and 106.24 is: 159.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.60 : 211.15 = 106.24 : x
  2. Step 2: Convert to fraction form
    140.60/211.15 = 106.24/x
  3. Step 3: Cross multiply
    140.60x = 211.15 × 106.24
  4. Step 4: Simplify right side
    140.60x = 22,432.58
  5. Step 5: Solve for x
    x = 22,432.58/140.60
  6. Step 6: Final answer
    x = 159.55

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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.