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Finding the Fourth Proportional to 80.10, 111.02 and 72

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Solution

The fourth proportional to 80.10, 111.02 and 72 is: 99.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.10 : 111.02 = 72 : x
  2. Step 2: Convert to fraction form
    80.10/111.02 = 72/x
  3. Step 3: Cross multiply
    80.10x = 111.02 × 72
  4. Step 4: Simplify right side
    80.10x = 7,993.08
  5. Step 5: Solve for x
    x = 7,993.08/80.10
  6. Step 6: Final answer
    x = 99.79

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.