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Finding the Fourth Proportional to 33.62, 46.34 and 29.17

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Solution

The fourth proportional to 33.62, 46.34 and 29.17 is: 40.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.62 : 46.34 = 29.17 : x
  2. Step 2: Convert to fraction form
    33.62/46.34 = 29.17/x
  3. Step 3: Cross multiply
    33.62x = 46.34 × 29.17
  4. Step 4: Simplify right side
    33.62x = 1,351.74
  5. Step 5: Solve for x
    x = 1,351.74/33.62
  6. Step 6: Final answer
    x = 40.21

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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.