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Finding the Fourth Proportional to 80.12, 110.64 and 76.48

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Solution

The fourth proportional to 80.12, 110.64 and 76.48 is: 105.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.12 : 110.64 = 76.48 : x
  2. Step 2: Convert to fraction form
    80.12/110.64 = 76.48/x
  3. Step 3: Cross multiply
    80.12x = 110.64 × 76.48
  4. Step 4: Simplify right side
    80.12x = 8,461.75
  5. Step 5: Solve for x
    x = 8,461.75/80.12
  6. Step 6: Final answer
    x = 105.61

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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.