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Finding the Fourth Proportional to 104.49, 144.18 and 97.61

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Solution

The fourth proportional to 104.49, 144.18 and 97.61 is: 134.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.49 : 144.18 = 97.61 : x
  2. Step 2: Convert to fraction form
    104.49/144.18 = 97.61/x
  3. Step 3: Cross multiply
    104.49x = 144.18 × 97.61
  4. Step 4: Simplify right side
    104.49x = 14,072.69
  5. Step 5: Solve for x
    x = 14,072.69/104.49
  6. Step 6: Final answer
    x = 134.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.