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Finding the Fourth Proportional to 115.13, 171.97 and 96.91

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Solution

The fourth proportional to 115.13, 171.97 and 96.91 is: 144.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.13 : 171.97 = 96.91 : x
  2. Step 2: Convert to fraction form
    115.13/171.97 = 96.91/x
  3. Step 3: Cross multiply
    115.13x = 171.97 × 96.91
  4. Step 4: Simplify right side
    115.13x = 16,665.49
  5. Step 5: Solve for x
    x = 16,665.49/115.13
  6. Step 6: Final answer
    x = 144.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.