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Finding the Fourth Proportional to 105.20, 158.42 and 76.52

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Solution

The fourth proportional to 105.20, 158.42 and 76.52 is: 115.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.20 : 158.42 = 76.52 : x
  2. Step 2: Convert to fraction form
    105.20/158.42 = 76.52/x
  3. Step 3: Cross multiply
    105.20x = 158.42 × 76.52
  4. Step 4: Simplify right side
    105.20x = 12,121.70
  5. Step 5: Solve for x
    x = 12,121.70/105.20
  6. Step 6: Final answer
    x = 115.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.