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Finding the Fourth Proportional to 69.68, 104 and 67.52

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Solution

The fourth proportional to 69.68, 104 and 67.52 is: 100.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.68 : 104 = 67.52 : x
  2. Step 2: Convert to fraction form
    69.68/104 = 67.52/x
  3. Step 3: Cross multiply
    69.68x = 104 × 67.52
  4. Step 4: Simplify right side
    69.68x = 7,022.08
  5. Step 5: Solve for x
    x = 7,022.08/69.68
  6. Step 6: Final answer
    x = 100.78

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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.