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Finding the Fourth Proportional to 69, 103.29 and 67.83

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Solution

The fourth proportional to 69, 103.29 and 67.83 is: 101.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    69 : 103.29 = 67.83 : x
  2. Step 2: Convert to fraction form
    69/103.29 = 67.83/x
  3. Step 3: Cross multiply
    69x = 103.29 × 67.83
  4. Step 4: Simplify right side
    69x = 7,006.16
  5. Step 5: Solve for x
    x = 7,006.16/69
  6. Step 6: Final answer
    x = 101.54

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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.