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Finding the Fourth Proportional to 106.87, 160.67 and 86.73

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Solution

The fourth proportional to 106.87, 160.67 and 86.73 is: 130.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.87 : 160.67 = 86.73 : x
  2. Step 2: Convert to fraction form
    106.87/160.67 = 86.73/x
  3. Step 3: Cross multiply
    106.87x = 160.67 × 86.73
  4. Step 4: Simplify right side
    106.87x = 13,934.91
  5. Step 5: Solve for x
    x = 13,934.91/106.87
  6. Step 6: Final answer
    x = 130.39

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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.