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Finding the Fourth Proportional to 69.69, 103.94 and 65.73

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Solution

The fourth proportional to 69.69, 103.94 and 65.73 is: 98.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.69 : 103.94 = 65.73 : x
  2. Step 2: Convert to fraction form
    69.69/103.94 = 65.73/x
  3. Step 3: Cross multiply
    69.69x = 103.94 × 65.73
  4. Step 4: Simplify right side
    69.69x = 6,832.14
  5. Step 5: Solve for x
    x = 6,832.14/69.69
  6. Step 6: Final answer
    x = 98.04

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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.