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Finding the Fourth Proportional to 115.82, 173.73 and 75.22

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Solution

The fourth proportional to 115.82, 173.73 and 75.22 is: 112.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.82 : 173.73 = 75.22 : x
  2. Step 2: Convert to fraction form
    115.82/173.73 = 75.22/x
  3. Step 3: Cross multiply
    115.82x = 173.73 × 75.22
  4. Step 4: Simplify right side
    115.82x = 13,067.97
  5. Step 5: Solve for x
    x = 13,067.97/115.82
  6. Step 6: Final answer
    x = 112.83

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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.