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Finding the Fourth Proportional to 168.10, 252.22 and 76.72

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Solution

The fourth proportional to 168.10, 252.22 and 76.72 is: 115.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.10 : 252.22 = 76.72 : x
  2. Step 2: Convert to fraction form
    168.10/252.22 = 76.72/x
  3. Step 3: Cross multiply
    168.10x = 252.22 × 76.72
  4. Step 4: Simplify right side
    168.10x = 19,350.32
  5. Step 5: Solve for x
    x = 19,350.32/168.10
  6. Step 6: Final answer
    x = 115.11

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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.