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Finding the Fourth Proportional to 97.91, 146.90 and 29.44

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Solution

The fourth proportional to 97.91, 146.90 and 29.44 is: 44.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.91 : 146.90 = 29.44 : x
  2. Step 2: Convert to fraction form
    97.91/146.90 = 29.44/x
  3. Step 3: Cross multiply
    97.91x = 146.90 × 29.44
  4. Step 4: Simplify right side
    97.91x = 4,324.74
  5. Step 5: Solve for x
    x = 4,324.74/97.91
  6. Step 6: Final answer
    x = 44.17

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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.