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Finding the Fourth Proportional to 75.74, 104.57 and 52.42

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Solution

The fourth proportional to 75.74, 104.57 and 52.42 is: 72.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.74 : 104.57 = 52.42 : x
  2. Step 2: Convert to fraction form
    75.74/104.57 = 52.42/x
  3. Step 3: Cross multiply
    75.74x = 104.57 × 52.42
  4. Step 4: Simplify right side
    75.74x = 5,481.56
  5. Step 5: Solve for x
    x = 5,481.56/75.74
  6. Step 6: Final answer
    x = 72.37

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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.