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Finding the Fourth Proportional to 84.25, 125.89 and 66.95

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Solution

The fourth proportional to 84.25, 125.89 and 66.95 is: 100.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.25 : 125.89 = 66.95 : x
  2. Step 2: Convert to fraction form
    84.25/125.89 = 66.95/x
  3. Step 3: Cross multiply
    84.25x = 125.89 × 66.95
  4. Step 4: Simplify right side
    84.25x = 8,428.00
  5. Step 5: Solve for x
    x = 8,428.00/84.25
  6. Step 6: Final answer
    x = 100.04

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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.