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Finding the Fourth Proportional to 97.97, 146.89 and 29.47

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Solution

The fourth proportional to 97.97, 146.89 and 29.47 is: 44.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.97 : 146.89 = 29.47 : x
  2. Step 2: Convert to fraction form
    97.97/146.89 = 29.47/x
  3. Step 3: Cross multiply
    97.97x = 146.89 × 29.47
  4. Step 4: Simplify right side
    97.97x = 4,328.52
  5. Step 5: Solve for x
    x = 4,328.52/97.97
  6. Step 6: Final answer
    x = 44.18

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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.