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Finding the Fourth Proportional to 97.59, 146.49 and 63.47

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Solution

The fourth proportional to 97.59, 146.49 and 63.47 is: 95.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.59 : 146.49 = 63.47 : x
  2. Step 2: Convert to fraction form
    97.59/146.49 = 63.47/x
  3. Step 3: Cross multiply
    97.59x = 146.49 × 63.47
  4. Step 4: Simplify right side
    97.59x = 9,297.72
  5. Step 5: Solve for x
    x = 9,297.72/97.59
  6. Step 6: Final answer
    x = 95.27

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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.