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Finding the Fourth Proportional to 67.54, 100.82 and 64.97

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Solution

The fourth proportional to 67.54, 100.82 and 64.97 is: 96.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.54 : 100.82 = 64.97 : x
  2. Step 2: Convert to fraction form
    67.54/100.82 = 64.97/x
  3. Step 3: Cross multiply
    67.54x = 100.82 × 64.97
  4. Step 4: Simplify right side
    67.54x = 6,550.28
  5. Step 5: Solve for x
    x = 6,550.28/67.54
  6. Step 6: Final answer
    x = 96.98

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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.