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Finding the Fourth Proportional to 115.49, 173.14 and 57.71

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Solution

The fourth proportional to 115.49, 173.14 and 57.71 is: 86.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.49 : 173.14 = 57.71 : x
  2. Step 2: Convert to fraction form
    115.49/173.14 = 57.71/x
  3. Step 3: Cross multiply
    115.49x = 173.14 × 57.71
  4. Step 4: Simplify right side
    115.49x = 9,992.20
  5. Step 5: Solve for x
    x = 9,992.20/115.49
  6. Step 6: Final answer
    x = 86.52

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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.