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Finding the Fourth Proportional to 83.43, 125.88 and 83.21

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Solution

The fourth proportional to 83.43, 125.88 and 83.21 is: 125.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.43 : 125.88 = 83.21 : x
  2. Step 2: Convert to fraction form
    83.43/125.88 = 83.21/x
  3. Step 3: Cross multiply
    83.43x = 125.88 × 83.21
  4. Step 4: Simplify right side
    83.43x = 10,473.95
  5. Step 5: Solve for x
    x = 10,473.95/83.43
  6. Step 6: Final answer
    x = 125.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.