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Finding the Fourth Proportional to 115.97, 160.00 and 71.71

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Solution

The fourth proportional to 115.97, 160.00 and 71.71 is: 98.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.97 : 160.00 = 71.71 : x
  2. Step 2: Convert to fraction form
    115.97/160.00 = 71.71/x
  3. Step 3: Cross multiply
    115.97x = 160.00 × 71.71
  4. Step 4: Simplify right side
    115.97x = 11,473.02
  5. Step 5: Solve for x
    x = 11,473.02/115.97
  6. Step 6: Final answer
    x = 98.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.