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Finding the Fourth Proportional to 69.47, 103.59 and 67.65

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Solution

The fourth proportional to 69.47, 103.59 and 67.65 is: 100.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.47 : 103.59 = 67.65 : x
  2. Step 2: Convert to fraction form
    69.47/103.59 = 67.65/x
  3. Step 3: Cross multiply
    69.47x = 103.59 × 67.65
  4. Step 4: Simplify right side
    69.47x = 7,007.48
  5. Step 5: Solve for x
    x = 7,007.48/69.47
  6. Step 6: Final answer
    x = 100.87

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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.