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Finding the Fourth Proportional to 83.80, 111.13 and 83.80

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Solution

The fourth proportional to 83.80, 111.13 and 83.80 is: 111.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.80 : 111.13 = 83.80 : x
  2. Step 2: Convert to fraction form
    83.80/111.13 = 83.80/x
  3. Step 3: Cross multiply
    83.80x = 111.13 × 83.80
  4. Step 4: Simplify right side
    83.80x = 9,312.69
  5. Step 5: Solve for x
    x = 9,312.69/83.80
  6. Step 6: Final answer
    x = 111.13

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.