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Finding the Fourth Proportional to 167.72, 251.42 and 106.66

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Solution

The fourth proportional to 167.72, 251.42 and 106.66 is: 159.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.72 : 251.42 = 106.66 : x
  2. Step 2: Convert to fraction form
    167.72/251.42 = 106.66/x
  3. Step 3: Cross multiply
    167.72x = 251.42 × 106.66
  4. Step 4: Simplify right side
    167.72x = 26,816.46
  5. Step 5: Solve for x
    x = 26,816.46/167.72
  6. Step 6: Final answer
    x = 159.89

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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.