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Finding the Fourth Proportional to 168.77, 253.14 and 71.23

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Solution

The fourth proportional to 168.77, 253.14 and 71.23 is: 106.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.77 : 253.14 = 71.23 : x
  2. Step 2: Convert to fraction form
    168.77/253.14 = 71.23/x
  3. Step 3: Cross multiply
    168.77x = 253.14 × 71.23
  4. Step 4: Simplify right side
    168.77x = 18,029.90
  5. Step 5: Solve for x
    x = 18,029.90/168.77
  6. Step 6: Final answer
    x = 106.83

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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.