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Finding the Fourth Proportional to 115.20, 158.88 and 80.24

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Solution

The fourth proportional to 115.20, 158.88 and 80.24 is: 110.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.20 : 158.88 = 80.24 : x
  2. Step 2: Convert to fraction form
    115.20/158.88 = 80.24/x
  3. Step 3: Cross multiply
    115.20x = 158.88 × 80.24
  4. Step 4: Simplify right side
    115.20x = 12,748.53
  5. Step 5: Solve for x
    x = 12,748.53/115.20
  6. Step 6: Final answer
    x = 110.66

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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.