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Finding the Fourth Proportional to 83.73, 125.08 and 70.83

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Solution

The fourth proportional to 83.73, 125.08 and 70.83 is: 105.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.73 : 125.08 = 70.83 : x
  2. Step 2: Convert to fraction form
    83.73/125.08 = 70.83/x
  3. Step 3: Cross multiply
    83.73x = 125.08 × 70.83
  4. Step 4: Simplify right side
    83.73x = 8,859.24
  5. Step 5: Solve for x
    x = 8,859.24/83.73
  6. Step 6: Final answer
    x = 105.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.