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Finding the Fourth Proportional to 115.46, 173.19 and 82.88

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Solution

The fourth proportional to 115.46, 173.19 and 82.88 is: 124.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.46 : 173.19 = 82.88 : x
  2. Step 2: Convert to fraction form
    115.46/173.19 = 82.88/x
  3. Step 3: Cross multiply
    115.46x = 173.19 × 82.88
  4. Step 4: Simplify right side
    115.46x = 14,353.57
  5. Step 5: Solve for x
    x = 14,353.57/115.46
  6. Step 6: Final answer
    x = 124.32

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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.