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Finding the Fourth Proportional to 80.11, 110.71 and 70.28

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Solution

The fourth proportional to 80.11, 110.71 and 70.28 is: 97.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.11 : 110.71 = 70.28 : x
  2. Step 2: Convert to fraction form
    80.11/110.71 = 70.28/x
  3. Step 3: Cross multiply
    80.11x = 110.71 × 70.28
  4. Step 4: Simplify right side
    80.11x = 7,780.70
  5. Step 5: Solve for x
    x = 7,780.70/80.11
  6. Step 6: Final answer
    x = 97.13

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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.