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Finding the Fourth Proportional to 72.11, 99.97 and 70.85

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Solution

The fourth proportional to 72.11, 99.97 and 70.85 is: 98.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.11 : 99.97 = 70.85 : x
  2. Step 2: Convert to fraction form
    72.11/99.97 = 70.85/x
  3. Step 3: Cross multiply
    72.11x = 99.97 × 70.85
  4. Step 4: Simplify right side
    72.11x = 7,082.95
  5. Step 5: Solve for x
    x = 7,082.95/72.11
  6. Step 6: Final answer
    x = 98.22

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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.