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Finding the Fourth Proportional to 33.82, 46.36 and 32.22

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Solution

The fourth proportional to 33.82, 46.36 and 32.22 is: 44.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.82 : 46.36 = 32.22 : x
  2. Step 2: Convert to fraction form
    33.82/46.36 = 32.22/x
  3. Step 3: Cross multiply
    33.82x = 46.36 × 32.22
  4. Step 4: Simplify right side
    33.82x = 1,493.72
  5. Step 5: Solve for x
    x = 1,493.72/33.82
  6. Step 6: Final answer
    x = 44.17

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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.