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Finding the Fourth Proportional to 168.10, 252.31 and 71.98

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Solution

The fourth proportional to 168.10, 252.31 and 71.98 is: 108.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.10 : 252.31 = 71.98 : x
  2. Step 2: Convert to fraction form
    168.10/252.31 = 71.98/x
  3. Step 3: Cross multiply
    168.10x = 252.31 × 71.98
  4. Step 4: Simplify right side
    168.10x = 18,160.91
  5. Step 5: Solve for x
    x = 18,160.91/168.10
  6. Step 6: Final answer
    x = 108.04

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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.