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Finding the Fourth Proportional to 33.47, 46.22 and 21.21

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Solution

The fourth proportional to 33.47, 46.22 and 21.21 is: 29.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.47 : 46.22 = 21.21 : x
  2. Step 2: Convert to fraction form
    33.47/46.22 = 21.21/x
  3. Step 3: Cross multiply
    33.47x = 46.22 × 21.21
  4. Step 4: Simplify right side
    33.47x = 980.22
  5. Step 5: Solve for x
    x = 980.22/33.47
  6. Step 6: Final answer
    x = 29.29

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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.