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Finding the Fourth Proportional to 105.01, 144.88 and 80.44

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Solution

The fourth proportional to 105.01, 144.88 and 80.44 is: 110.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.01 : 144.88 = 80.44 : x
  2. Step 2: Convert to fraction form
    105.01/144.88 = 80.44/x
  3. Step 3: Cross multiply
    105.01x = 144.88 × 80.44
  4. Step 4: Simplify right side
    105.01x = 11,654.15
  5. Step 5: Solve for x
    x = 11,654.15/105.01
  6. Step 6: Final answer
    x = 110.98

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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.