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Finding the Fourth Proportional to 97.60, 146.36 and 43.48

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Solution

The fourth proportional to 97.60, 146.36 and 43.48 is: 65.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.60 : 146.36 = 43.48 : x
  2. Step 2: Convert to fraction form
    97.60/146.36 = 43.48/x
  3. Step 3: Cross multiply
    97.60x = 146.36 × 43.48
  4. Step 4: Simplify right side
    97.60x = 6,363.73
  5. Step 5: Solve for x
    x = 6,363.73/97.60
  6. Step 6: Final answer
    x = 65.20

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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.