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Finding the Fourth Proportional to 168.24, 252.15 and 76.83

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Solution

The fourth proportional to 168.24, 252.15 and 76.83 is: 115.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.24 : 252.15 = 76.83 : x
  2. Step 2: Convert to fraction form
    168.24/252.15 = 76.83/x
  3. Step 3: Cross multiply
    168.24x = 252.15 × 76.83
  4. Step 4: Simplify right side
    168.24x = 19,372.68
  5. Step 5: Solve for x
    x = 19,372.68/168.24
  6. Step 6: Final answer
    x = 115.15

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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.