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Finding the Fourth Proportional to 168.60, 252.46 and 110.65

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Solution

The fourth proportional to 168.60, 252.46 and 110.65 is: 165.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.60 : 252.46 = 110.65 : x
  2. Step 2: Convert to fraction form
    168.60/252.46 = 110.65/x
  3. Step 3: Cross multiply
    168.60x = 252.46 × 110.65
  4. Step 4: Simplify right side
    168.60x = 27,934.68
  5. Step 5: Solve for x
    x = 27,934.68/168.60
  6. Step 6: Final answer
    x = 165.69

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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.