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Finding the Fourth Proportional to 167.67, 252.42 and 113.91

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Solution

The fourth proportional to 167.67, 252.42 and 113.91 is: 171.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.67 : 252.42 = 113.91 : x
  2. Step 2: Convert to fraction form
    167.67/252.42 = 113.91/x
  3. Step 3: Cross multiply
    167.67x = 252.42 × 113.91
  4. Step 4: Simplify right side
    167.67x = 28,751.79
  5. Step 5: Solve for x
    x = 28,751.79/167.67
  6. Step 6: Final answer
    x = 171.48

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.