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Finding the Fourth Proportional to 167.29, 251.06 and 80.69

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Solution

The fourth proportional to 167.29, 251.06 and 80.69 is: 121.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.29 : 251.06 = 80.69 : x
  2. Step 2: Convert to fraction form
    167.29/251.06 = 80.69/x
  3. Step 3: Cross multiply
    167.29x = 251.06 × 80.69
  4. Step 4: Simplify right side
    167.29x = 20,257.08
  5. Step 5: Solve for x
    x = 20,257.08/167.29
  6. Step 6: Final answer
    x = 121.09

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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.