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Finding the Fourth Proportional to 33.46, 46.17 and 21.17

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Solution

The fourth proportional to 33.46, 46.17 and 21.17 is: 29.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.46 : 46.17 = 21.17 : x
  2. Step 2: Convert to fraction form
    33.46/46.17 = 21.17/x
  3. Step 3: Cross multiply
    33.46x = 46.17 × 21.17
  4. Step 4: Simplify right side
    33.46x = 977.53
  5. Step 5: Solve for x
    x = 977.53/33.46
  6. Step 6: Final answer
    x = 29.22

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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.