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Finding the Fourth Proportional to 104.55, 144.07 and 82.68

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Solution

The fourth proportional to 104.55, 144.07 and 82.68 is: 113.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.55 : 144.07 = 82.68 : x
  2. Step 2: Convert to fraction form
    104.55/144.07 = 82.68/x
  3. Step 3: Cross multiply
    104.55x = 144.07 × 82.68
  4. Step 4: Simplify right side
    104.55x = 11,911.71
  5. Step 5: Solve for x
    x = 11,911.71/104.55
  6. Step 6: Final answer
    x = 113.93

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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.