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Finding the Fourth Proportional to 167.34, 251.52 and 106.86

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Solution

The fourth proportional to 167.34, 251.52 and 106.86 is: 160.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.34 : 251.52 = 106.86 : x
  2. Step 2: Convert to fraction form
    167.34/251.52 = 106.86/x
  3. Step 3: Cross multiply
    167.34x = 251.52 × 106.86
  4. Step 4: Simplify right side
    167.34x = 26,877.43
  5. Step 5: Solve for x
    x = 26,877.43/167.34
  6. Step 6: Final answer
    x = 160.62

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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.