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Finding the Fourth Proportional to 104.90, 144.61 and 69.87

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Solution

The fourth proportional to 104.90, 144.61 and 69.87 is: 96.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.90 : 144.61 = 69.87 : x
  2. Step 2: Convert to fraction form
    104.90/144.61 = 69.87/x
  3. Step 3: Cross multiply
    104.90x = 144.61 × 69.87
  4. Step 4: Simplify right side
    104.90x = 10,103.73
  5. Step 5: Solve for x
    x = 10,103.73/104.90
  6. Step 6: Final answer
    x = 96.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.