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Finding the Fourth Proportional to 97.60, 146.42 and 36.78

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Solution

The fourth proportional to 97.60, 146.42 and 36.78 is: 55.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.60 : 146.42 = 36.78 : x
  2. Step 2: Convert to fraction form
    97.60/146.42 = 36.78/x
  3. Step 3: Cross multiply
    97.60x = 146.42 × 36.78
  4. Step 4: Simplify right side
    97.60x = 5,385.33
  5. Step 5: Solve for x
    x = 5,385.33/97.60
  6. Step 6: Final answer
    x = 55.18

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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.