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Finding the Fourth Proportional to 168.06, 251.55 and 110.15

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Solution

The fourth proportional to 168.06, 251.55 and 110.15 is: 164.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.06 : 251.55 = 110.15 : x
  2. Step 2: Convert to fraction form
    168.06/251.55 = 110.15/x
  3. Step 3: Cross multiply
    168.06x = 251.55 × 110.15
  4. Step 4: Simplify right side
    168.06x = 27,706.97
  5. Step 5: Solve for x
    x = 27,706.97/168.06
  6. Step 6: Final answer
    x = 164.86

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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.