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Finding the Fourth Proportional to 168.39, 252.51 and 76.92

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Solution

The fourth proportional to 168.39, 252.51 and 76.92 is: 115.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.39 : 252.51 = 76.92 : x
  2. Step 2: Convert to fraction form
    168.39/252.51 = 76.92/x
  3. Step 3: Cross multiply
    168.39x = 252.51 × 76.92
  4. Step 4: Simplify right side
    168.39x = 19,423.07
  5. Step 5: Solve for x
    x = 19,423.07/168.39
  6. Step 6: Final answer
    x = 115.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.