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Finding the Fourth Proportional to 33.84, 46.71 and 21.40

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Solution

The fourth proportional to 33.84, 46.71 and 21.40 is: 29.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.84 : 46.71 = 21.40 : x
  2. Step 2: Convert to fraction form
    33.84/46.71 = 21.40/x
  3. Step 3: Cross multiply
    33.84x = 46.71 × 21.40
  4. Step 4: Simplify right side
    33.84x = 999.48
  5. Step 5: Solve for x
    x = 999.48/33.84
  6. Step 6: Final answer
    x = 29.54

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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.