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Finding the Fourth Proportional to 33.71, 46.50 and 21.41

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Solution

The fourth proportional to 33.71, 46.50 and 21.41 is: 29.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.71 : 46.50 = 21.41 : x
  2. Step 2: Convert to fraction form
    33.71/46.50 = 21.41/x
  3. Step 3: Cross multiply
    33.71x = 46.50 × 21.41
  4. Step 4: Simplify right side
    33.71x = 995.57
  5. Step 5: Solve for x
    x = 995.57/33.71
  6. Step 6: Final answer
    x = 29.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.