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Finding the Fourth Proportional to 97.62, 146.42 and 25.47

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Solution

The fourth proportional to 97.62, 146.42 and 25.47 is: 38.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.62 : 146.42 = 25.47 : x
  2. Step 2: Convert to fraction form
    97.62/146.42 = 25.47/x
  3. Step 3: Cross multiply
    97.62x = 146.42 × 25.47
  4. Step 4: Simplify right side
    97.62x = 3,729.32
  5. Step 5: Solve for x
    x = 3,729.32/97.62
  6. Step 6: Final answer
    x = 38.20

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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.