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Finding the Fourth Proportional to 69.67, 103.85 and 68.86

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Solution

The fourth proportional to 69.67, 103.85 and 68.86 is: 102.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.67 : 103.85 = 68.86 : x
  2. Step 2: Convert to fraction form
    69.67/103.85 = 68.86/x
  3. Step 3: Cross multiply
    69.67x = 103.85 × 68.86
  4. Step 4: Simplify right side
    69.67x = 7,151.11
  5. Step 5: Solve for x
    x = 7,151.11/69.67
  6. Step 6: Final answer
    x = 102.64

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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.