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Finding the Fourth Proportional to 33.45, 46.14 and 21.17

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Solution

The fourth proportional to 33.45, 46.14 and 21.17 is: 29.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.45 : 46.14 = 21.17 : x
  2. Step 2: Convert to fraction form
    33.45/46.14 = 21.17/x
  3. Step 3: Cross multiply
    33.45x = 46.14 × 21.17
  4. Step 4: Simplify right side
    33.45x = 976.94
  5. Step 5: Solve for x
    x = 976.94/33.45
  6. Step 6: Final answer
    x = 29.21

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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.