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Finding the Fourth Proportional to 76.14, 104.94 and 67.32

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Solution

The fourth proportional to 76.14, 104.94 and 67.32 is: 92.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.14 : 104.94 = 67.32 : x
  2. Step 2: Convert to fraction form
    76.14/104.94 = 67.32/x
  3. Step 3: Cross multiply
    76.14x = 104.94 × 67.32
  4. Step 4: Simplify right side
    76.14x = 7,064.56
  5. Step 5: Solve for x
    x = 7,064.56/76.14
  6. Step 6: Final answer
    x = 92.78

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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.