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Finding the Fourth Proportional to 33.39, 46.05 and 21.09

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Solution

The fourth proportional to 33.39, 46.05 and 21.09 is: 29.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.39 : 46.05 = 21.09 : x
  2. Step 2: Convert to fraction form
    33.39/46.05 = 21.09/x
  3. Step 3: Cross multiply
    33.39x = 46.05 × 21.09
  4. Step 4: Simplify right side
    33.39x = 971.19
  5. Step 5: Solve for x
    x = 971.19/33.39
  6. Step 6: Final answer
    x = 29.09

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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.