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Finding the Fourth Proportional to 33.68, 46.50 and 29.84

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Solution

The fourth proportional to 33.68, 46.50 and 29.84 is: 41.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.68 : 46.50 = 29.84 : x
  2. Step 2: Convert to fraction form
    33.68/46.50 = 29.84/x
  3. Step 3: Cross multiply
    33.68x = 46.50 × 29.84
  4. Step 4: Simplify right side
    33.68x = 1,387.56
  5. Step 5: Solve for x
    x = 1,387.56/33.68
  6. Step 6: Final answer
    x = 41.20

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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.