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Finding the Fourth Proportional to 168.11, 252.14 and 96.42

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Solution

The fourth proportional to 168.11, 252.14 and 96.42 is: 144.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.11 : 252.14 = 96.42 : x
  2. Step 2: Convert to fraction form
    168.11/252.14 = 96.42/x
  3. Step 3: Cross multiply
    168.11x = 252.14 × 96.42
  4. Step 4: Simplify right side
    168.11x = 24,310.86
  5. Step 5: Solve for x
    x = 24,310.86/168.11
  6. Step 6: Final answer
    x = 144.62

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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.