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Finding the Fourth Proportional to 167.70, 251.13 and 85.29

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Solution

The fourth proportional to 167.70, 251.13 and 85.29 is: 127.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.70 : 251.13 = 85.29 : x
  2. Step 2: Convert to fraction form
    167.70/251.13 = 85.29/x
  3. Step 3: Cross multiply
    167.70x = 251.13 × 85.29
  4. Step 4: Simplify right side
    167.70x = 21,418.26
  5. Step 5: Solve for x
    x = 21,418.26/167.70
  6. Step 6: Final answer
    x = 127.71

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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.