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Finding the Fourth Proportional to 167.56, 251.22 and 82.12

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Solution

The fourth proportional to 167.56, 251.22 and 82.12 is: 123.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.56 : 251.22 = 82.12 : x
  2. Step 2: Convert to fraction form
    167.56/251.22 = 82.12/x
  3. Step 3: Cross multiply
    167.56x = 251.22 × 82.12
  4. Step 4: Simplify right side
    167.56x = 20,630.19
  5. Step 5: Solve for x
    x = 20,630.19/167.56
  6. Step 6: Final answer
    x = 123.12

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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.