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Finding the Fourth Proportional to 80.67, 110.72 and 77.33

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Solution

The fourth proportional to 80.67, 110.72 and 77.33 is: 106.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.67 : 110.72 = 77.33 : x
  2. Step 2: Convert to fraction form
    80.67/110.72 = 77.33/x
  3. Step 3: Cross multiply
    80.67x = 110.72 × 77.33
  4. Step 4: Simplify right side
    80.67x = 8,561.98
  5. Step 5: Solve for x
    x = 8,561.98/80.67
  6. Step 6: Final answer
    x = 106.14

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.