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Finding the Fourth Proportional to 83.95, 115.53 and 80.71

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Solution

The fourth proportional to 83.95, 115.53 and 80.71 is: 111.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.95 : 115.53 = 80.71 : x
  2. Step 2: Convert to fraction form
    83.95/115.53 = 80.71/x
  3. Step 3: Cross multiply
    83.95x = 115.53 × 80.71
  4. Step 4: Simplify right side
    83.95x = 9,324.43
  5. Step 5: Solve for x
    x = 9,324.43/83.95
  6. Step 6: Final answer
    x = 111.07

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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.