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Finding the Fourth Proportional to 83.56, 126.07 and 83.33

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Solution

The fourth proportional to 83.56, 126.07 and 83.33 is: 125.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.56 : 126.07 = 83.33 : x
  2. Step 2: Convert to fraction form
    83.56/126.07 = 83.33/x
  3. Step 3: Cross multiply
    83.56x = 126.07 × 83.33
  4. Step 4: Simplify right side
    83.56x = 10,505.31
  5. Step 5: Solve for x
    x = 10,505.31/83.56
  6. Step 6: Final answer
    x = 125.73

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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.