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Finding the Fourth Proportional to 167.82, 251.82 and 71.70

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Solution

The fourth proportional to 167.82, 251.82 and 71.70 is: 107.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.82 : 251.82 = 71.70 : x
  2. Step 2: Convert to fraction form
    167.82/251.82 = 71.70/x
  3. Step 3: Cross multiply
    167.82x = 251.82 × 71.70
  4. Step 4: Simplify right side
    167.82x = 18,055.49
  5. Step 5: Solve for x
    x = 18,055.49/167.82
  6. Step 6: Final answer
    x = 107.59

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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.