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Finding the Fourth Proportional to 33.84, 50.97 and 30.66

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Solution

The fourth proportional to 33.84, 50.97 and 30.66 is: 46.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.84 : 50.97 = 30.66 : x
  2. Step 2: Convert to fraction form
    33.84/50.97 = 30.66/x
  3. Step 3: Cross multiply
    33.84x = 50.97 × 30.66
  4. Step 4: Simplify right side
    33.84x = 1,562.74
  5. Step 5: Solve for x
    x = 1,562.74/33.84
  6. Step 6: Final answer
    x = 46.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.