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Finding the Fourth Proportional to 68.41, 102.31 and 66.79

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Solution

The fourth proportional to 68.41, 102.31 and 66.79 is: 99.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.41 : 102.31 = 66.79 : x
  2. Step 2: Convert to fraction form
    68.41/102.31 = 66.79/x
  3. Step 3: Cross multiply
    68.41x = 102.31 × 66.79
  4. Step 4: Simplify right side
    68.41x = 6,832.86
  5. Step 5: Solve for x
    x = 6,832.86/68.41
  6. Step 6: Final answer
    x = 99.88

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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.