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Finding the Fourth Proportional to 104.61, 144.54 and 82.97

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Solution

The fourth proportional to 104.61, 144.54 and 82.97 is: 114.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.61 : 144.54 = 82.97 : x
  2. Step 2: Convert to fraction form
    104.61/144.54 = 82.97/x
  3. Step 3: Cross multiply
    104.61x = 144.54 × 82.97
  4. Step 4: Simplify right side
    104.61x = 11,991.76
  5. Step 5: Solve for x
    x = 11,991.76/104.61
  6. Step 6: Final answer
    x = 114.63

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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.