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Finding the Fourth Proportional to 67.93, 101.69 and 54.26

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Solution

The fourth proportional to 67.93, 101.69 and 54.26 is: 81.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.93 : 101.69 = 54.26 : x
  2. Step 2: Convert to fraction form
    67.93/101.69 = 54.26/x
  3. Step 3: Cross multiply
    67.93x = 101.69 × 54.26
  4. Step 4: Simplify right side
    67.93x = 5,517.70
  5. Step 5: Solve for x
    x = 5,517.70/67.93
  6. Step 6: Final answer
    x = 81.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.