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Finding the Fourth Proportional to 167.75, 251.63 and 86.55

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Solution

The fourth proportional to 167.75, 251.63 and 86.55 is: 129.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.75 : 251.63 = 86.55 : x
  2. Step 2: Convert to fraction form
    167.75/251.63 = 86.55/x
  3. Step 3: Cross multiply
    167.75x = 251.63 × 86.55
  4. Step 4: Simplify right side
    167.75x = 21,778.58
  5. Step 5: Solve for x
    x = 21,778.58/167.75
  6. Step 6: Final answer
    x = 129.83

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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.