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Finding the Fourth Proportional to 167.82, 251.70 and 106.77

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Solution

The fourth proportional to 167.82, 251.70 and 106.77 is: 160.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.82 : 251.70 = 106.77 : x
  2. Step 2: Convert to fraction form
    167.82/251.70 = 106.77/x
  3. Step 3: Cross multiply
    167.82x = 251.70 × 106.77
  4. Step 4: Simplify right side
    167.82x = 26,874.01
  5. Step 5: Solve for x
    x = 26,874.01/167.82
  6. Step 6: Final answer
    x = 160.14

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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.