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Finding the Fourth Proportional to 104.66, 144.12 and 82.76

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Solution

The fourth proportional to 104.66, 144.12 and 82.76 is: 113.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.66 : 144.12 = 82.76 : x
  2. Step 2: Convert to fraction form
    104.66/144.12 = 82.76/x
  3. Step 3: Cross multiply
    104.66x = 144.12 × 82.76
  4. Step 4: Simplify right side
    104.66x = 11,927.37
  5. Step 5: Solve for x
    x = 11,927.37/104.66
  6. Step 6: Final answer
    x = 113.96

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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.