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Finding the Fourth Proportional to 115.27, 173.14 and 69.71

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Solution

The fourth proportional to 115.27, 173.14 and 69.71 is: 104.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.27 : 173.14 = 69.71 : x
  2. Step 2: Convert to fraction form
    115.27/173.14 = 69.71/x
  3. Step 3: Cross multiply
    115.27x = 173.14 × 69.71
  4. Step 4: Simplify right side
    115.27x = 12,069.52
  5. Step 5: Solve for x
    x = 12,069.52/115.27
  6. Step 6: Final answer
    x = 104.70

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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.