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Finding the Fourth Proportional to 115.67, 159.74 and 80.82

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Solution

The fourth proportional to 115.67, 159.74 and 80.82 is: 111.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.67 : 159.74 = 80.82 : x
  2. Step 2: Convert to fraction form
    115.67/159.74 = 80.82/x
  3. Step 3: Cross multiply
    115.67x = 159.74 × 80.82
  4. Step 4: Simplify right side
    115.67x = 12,909.78
  5. Step 5: Solve for x
    x = 12,909.78/115.67
  6. Step 6: Final answer
    x = 111.61

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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.