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Finding the Fourth Proportional to 104.49, 144.08 and 77.91

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Solution

The fourth proportional to 104.49, 144.08 and 77.91 is: 107.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.49 : 144.08 = 77.91 : x
  2. Step 2: Convert to fraction form
    104.49/144.08 = 77.91/x
  3. Step 3: Cross multiply
    104.49x = 144.08 × 77.91
  4. Step 4: Simplify right side
    104.49x = 11,226.15
  5. Step 5: Solve for x
    x = 11,226.15/104.49
  6. Step 6: Final answer
    x = 107.44

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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.