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Finding the Fourth Proportional to 168.56, 252.72 and 83

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Solution

The fourth proportional to 168.56, 252.72 and 83 is: 124.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.56 : 252.72 = 83 : x
  2. Step 2: Convert to fraction form
    168.56/252.72 = 83/x
  3. Step 3: Cross multiply
    168.56x = 252.72 × 83
  4. Step 4: Simplify right side
    168.56x = 20,975.76
  5. Step 5: Solve for x
    x = 20,975.76/168.56
  6. Step 6: Final answer
    x = 124.44

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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.