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Finding the Fourth Proportional to 115.96, 173.97 and 43.82

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Solution

The fourth proportional to 115.96, 173.97 and 43.82 is: 65.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.96 : 173.97 = 43.82 : x
  2. Step 2: Convert to fraction form
    115.96/173.97 = 43.82/x
  3. Step 3: Cross multiply
    115.96x = 173.97 × 43.82
  4. Step 4: Simplify right side
    115.96x = 7,623.37
  5. Step 5: Solve for x
    x = 7,623.37/115.96
  6. Step 6: Final answer
    x = 65.74

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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.