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Finding the Fourth Proportional to 83.10, 125.22 and 68.98

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Solution

The fourth proportional to 83.10, 125.22 and 68.98 is: 103.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.10 : 125.22 = 68.98 : x
  2. Step 2: Convert to fraction form
    83.10/125.22 = 68.98/x
  3. Step 3: Cross multiply
    83.10x = 125.22 × 68.98
  4. Step 4: Simplify right side
    83.10x = 8,637.36
  5. Step 5: Solve for x
    x = 8,637.36/83.10
  6. Step 6: Final answer
    x = 103.94

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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.