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Finding the Fourth Proportional to 168.59, 252.92 and 71.14

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Solution

The fourth proportional to 168.59, 252.92 and 71.14 is: 106.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.59 : 252.92 = 71.14 : x
  2. Step 2: Convert to fraction form
    168.59/252.92 = 71.14/x
  3. Step 3: Cross multiply
    168.59x = 252.92 × 71.14
  4. Step 4: Simplify right side
    168.59x = 17,992.37
  5. Step 5: Solve for x
    x = 17,992.37/168.59
  6. Step 6: Final answer
    x = 106.72

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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.