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Finding the Fourth Proportional to 33.33, 46 and 21.69

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Solution

The fourth proportional to 33.33, 46 and 21.69 is: 29.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.33 : 46 = 21.69 : x
  2. Step 2: Convert to fraction form
    33.33/46 = 21.69/x
  3. Step 3: Cross multiply
    33.33x = 46 × 21.69
  4. Step 4: Simplify right side
    33.33x = 997.74
  5. Step 5: Solve for x
    x = 997.74/33.33
  6. Step 6: Final answer
    x = 29.94

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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.