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Finding the Fourth Proportional to 69.62, 103.82 and 60.06

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Solution

The fourth proportional to 69.62, 103.82 and 60.06 is: 89.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.62 : 103.82 = 60.06 : x
  2. Step 2: Convert to fraction form
    69.62/103.82 = 60.06/x
  3. Step 3: Cross multiply
    69.62x = 103.82 × 60.06
  4. Step 4: Simplify right side
    69.62x = 6,235.58
  5. Step 5: Solve for x
    x = 6,235.58/69.62
  6. Step 6: Final answer
    x = 89.56

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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.