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Finding the Fourth Proportional to 69.75, 104.67 and 42.68

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Solution

The fourth proportional to 69.75, 104.67 and 42.68 is: 64.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.75 : 104.67 = 42.68 : x
  2. Step 2: Convert to fraction form
    69.75/104.67 = 42.68/x
  3. Step 3: Cross multiply
    69.75x = 104.67 × 42.68
  4. Step 4: Simplify right side
    69.75x = 4,467.58
  5. Step 5: Solve for x
    x = 4,467.58/69.75
  6. Step 6: Final answer
    x = 64.05

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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.