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Finding the Fourth Proportional to 106.89, 160.03 and 72.57

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Solution

The fourth proportional to 106.89, 160.03 and 72.57 is: 108.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.89 : 160.03 = 72.57 : x
  2. Step 2: Convert to fraction form
    106.89/160.03 = 72.57/x
  3. Step 3: Cross multiply
    106.89x = 160.03 × 72.57
  4. Step 4: Simplify right side
    106.89x = 11,613.38
  5. Step 5: Solve for x
    x = 11,613.38/106.89
  6. Step 6: Final answer
    x = 108.65

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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.