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Finding the Fourth Proportional to 140.67, 211.11 and 108.27

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Solution

The fourth proportional to 140.67, 211.11 and 108.27 is: 162.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.67 : 211.11 = 108.27 : x
  2. Step 2: Convert to fraction form
    140.67/211.11 = 108.27/x
  3. Step 3: Cross multiply
    140.67x = 211.11 × 108.27
  4. Step 4: Simplify right side
    140.67x = 22,856.88
  5. Step 5: Solve for x
    x = 22,856.88/140.67
  6. Step 6: Final answer
    x = 162.49

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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.