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Finding the Fourth Proportional to 115.97, 173.63 and 69.71

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Solution

The fourth proportional to 115.97, 173.63 and 69.71 is: 104.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.97 : 173.63 = 69.71 : x
  2. Step 2: Convert to fraction form
    115.97/173.63 = 69.71/x
  3. Step 3: Cross multiply
    115.97x = 173.63 × 69.71
  4. Step 4: Simplify right side
    115.97x = 12,103.05
  5. Step 5: Solve for x
    x = 12,103.05/115.97
  6. Step 6: Final answer
    x = 104.37

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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.