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Finding the Fourth Proportional to 95.76, 142.80 and 80.40

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Solution

The fourth proportional to 95.76, 142.80 and 80.40 is: 119.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.76 : 142.80 = 80.40 : x
  2. Step 2: Convert to fraction form
    95.76/142.80 = 80.40/x
  3. Step 3: Cross multiply
    95.76x = 142.80 × 80.40
  4. Step 4: Simplify right side
    95.76x = 11,481.12
  5. Step 5: Solve for x
    x = 11,481.12/95.76
  6. Step 6: Final answer
    x = 119.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.