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Finding the Fourth Proportional to 104.98, 144.75 and 75.82

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Solution

The fourth proportional to 104.98, 144.75 and 75.82 is: 104.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.98 : 144.75 = 75.82 : x
  2. Step 2: Convert to fraction form
    104.98/144.75 = 75.82/x
  3. Step 3: Cross multiply
    104.98x = 144.75 × 75.82
  4. Step 4: Simplify right side
    104.98x = 10,974.95
  5. Step 5: Solve for x
    x = 10,974.95/104.98
  6. Step 6: Final answer
    x = 104.54

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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.