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Finding the Fourth Proportional to 69, 102.69 and 67.48

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Solution

The fourth proportional to 69, 102.69 and 67.48 is: 100.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    69 : 102.69 = 67.48 : x
  2. Step 2: Convert to fraction form
    69/102.69 = 67.48/x
  3. Step 3: Cross multiply
    69x = 102.69 × 67.48
  4. Step 4: Simplify right side
    69x = 6,929.52
  5. Step 5: Solve for x
    x = 6,929.52/69
  6. Step 6: Final answer
    x = 100.43

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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.