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Finding the Fourth Proportional to 167.97, 231.61 and 105.73

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Solution

The fourth proportional to 167.97, 231.61 and 105.73 is: 145.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.97 : 231.61 = 105.73 : x
  2. Step 2: Convert to fraction form
    167.97/231.61 = 105.73/x
  3. Step 3: Cross multiply
    167.97x = 231.61 × 105.73
  4. Step 4: Simplify right side
    167.97x = 24,487.23
  5. Step 5: Solve for x
    x = 24,487.23/167.97
  6. Step 6: Final answer
    x = 145.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.