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Finding the Fourth Proportional to 33.70, 46.14 and 32.44

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Solution

The fourth proportional to 33.70, 46.14 and 32.44 is: 44.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.70 : 46.14 = 32.44 : x
  2. Step 2: Convert to fraction form
    33.70/46.14 = 32.44/x
  3. Step 3: Cross multiply
    33.70x = 46.14 × 32.44
  4. Step 4: Simplify right side
    33.70x = 1,496.78
  5. Step 5: Solve for x
    x = 1,496.78/33.70
  6. Step 6: Final answer
    x = 44.41

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.