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Finding the Fourth Proportional to 167.96, 252.14 and 106.91

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Solution

The fourth proportional to 167.96, 252.14 and 106.91 is: 160.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.96 : 252.14 = 106.91 : x
  2. Step 2: Convert to fraction form
    167.96/252.14 = 106.91/x
  3. Step 3: Cross multiply
    167.96x = 252.14 × 106.91
  4. Step 4: Simplify right side
    167.96x = 26,954.49
  5. Step 5: Solve for x
    x = 26,954.49/167.96
  6. Step 6: Final answer
    x = 160.49

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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.