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Finding the Fourth Proportional to 104.73, 144.46 and 75.57

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Solution

The fourth proportional to 104.73, 144.46 and 75.57 is: 104.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.73 : 144.46 = 75.57 : x
  2. Step 2: Convert to fraction form
    104.73/144.46 = 75.57/x
  3. Step 3: Cross multiply
    104.73x = 144.46 × 75.57
  4. Step 4: Simplify right side
    104.73x = 10,916.84
  5. Step 5: Solve for x
    x = 10,916.84/104.73
  6. Step 6: Final answer
    x = 104.24

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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.