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Finding the Fourth Proportional to 68.41, 103.14 and 67.97

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Solution

The fourth proportional to 68.41, 103.14 and 67.97 is: 102.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.41 : 103.14 = 67.97 : x
  2. Step 2: Convert to fraction form
    68.41/103.14 = 67.97/x
  3. Step 3: Cross multiply
    68.41x = 103.14 × 67.97
  4. Step 4: Simplify right side
    68.41x = 7,010.68
  5. Step 5: Solve for x
    x = 7,010.68/68.41
  6. Step 6: Final answer
    x = 102.48

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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.