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Finding the Fourth Proportional to 106.87, 160.32 and 34.73

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Solution

The fourth proportional to 106.87, 160.32 and 34.73 is: 52.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.87 : 160.32 = 34.73 : x
  2. Step 2: Convert to fraction form
    106.87/160.32 = 34.73/x
  3. Step 3: Cross multiply
    106.87x = 160.32 × 34.73
  4. Step 4: Simplify right side
    106.87x = 5,567.91
  5. Step 5: Solve for x
    x = 5,567.91/106.87
  6. Step 6: Final answer
    x = 52.10

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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.