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Finding the Fourth Proportional to 167.74, 251.48 and 86.54

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Solution

The fourth proportional to 167.74, 251.48 and 86.54 is: 129.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.74 : 251.48 = 86.54 : x
  2. Step 2: Convert to fraction form
    167.74/251.48 = 86.54/x
  3. Step 3: Cross multiply
    167.74x = 251.48 × 86.54
  4. Step 4: Simplify right side
    167.74x = 21,763.08
  5. Step 5: Solve for x
    x = 21,763.08/167.74
  6. Step 6: Final answer
    x = 129.74

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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.