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Finding the Fourth Proportional to 83.16, 125.27 and 79.80

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Solution

The fourth proportional to 83.16, 125.27 and 79.80 is: 120.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.16 : 125.27 = 79.80 : x
  2. Step 2: Convert to fraction form
    83.16/125.27 = 79.80/x
  3. Step 3: Cross multiply
    83.16x = 125.27 × 79.80
  4. Step 4: Simplify right side
    83.16x = 9,996.55
  5. Step 5: Solve for x
    x = 9,996.55/83.16
  6. Step 6: Final answer
    x = 120.21

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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.