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Finding the Fourth Proportional to 104.87, 144.98 and 80.27

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Solution

The fourth proportional to 104.87, 144.98 and 80.27 is: 110.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.87 : 144.98 = 80.27 : x
  2. Step 2: Convert to fraction form
    104.87/144.98 = 80.27/x
  3. Step 3: Cross multiply
    104.87x = 144.98 × 80.27
  4. Step 4: Simplify right side
    104.87x = 11,636.42
  5. Step 5: Solve for x
    x = 11,636.42/104.87
  6. Step 6: Final answer
    x = 110.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.