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Finding the Fourth Proportional to 168.64, 252.82 and 87.54

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Solution

The fourth proportional to 168.64, 252.82 and 87.54 is: 131.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.64 : 252.82 = 87.54 : x
  2. Step 2: Convert to fraction form
    168.64/252.82 = 87.54/x
  3. Step 3: Cross multiply
    168.64x = 252.82 × 87.54
  4. Step 4: Simplify right side
    168.64x = 22,131.86
  5. Step 5: Solve for x
    x = 22,131.86/168.64
  6. Step 6: Final answer
    x = 131.24

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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.