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Finding the Fourth Proportional to 97.62, 146.41 and 25.48

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Solution

The fourth proportional to 97.62, 146.41 and 25.48 is: 38.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.62 : 146.41 = 25.48 : x
  2. Step 2: Convert to fraction form
    97.62/146.41 = 25.48/x
  3. Step 3: Cross multiply
    97.62x = 146.41 × 25.48
  4. Step 4: Simplify right side
    97.62x = 3,730.56
  5. Step 5: Solve for x
    x = 3,730.56/97.62
  6. Step 6: Final answer
    x = 38.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.