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Finding the Fourth Proportional to 167.97, 251.56 and 107.12

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Solution

The fourth proportional to 167.97, 251.56 and 107.12 is: 160.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.97 : 251.56 = 107.12 : x
  2. Step 2: Convert to fraction form
    167.97/251.56 = 107.12/x
  3. Step 3: Cross multiply
    167.97x = 251.56 × 107.12
  4. Step 4: Simplify right side
    167.97x = 26,947.27
  5. Step 5: Solve for x
    x = 26,947.27/167.97
  6. Step 6: Final answer
    x = 160.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.