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Finding the Fourth Proportional to 33.45, 46.08 and 30.21

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Solution

The fourth proportional to 33.45, 46.08 and 30.21 is: 41.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.45 : 46.08 = 30.21 : x
  2. Step 2: Convert to fraction form
    33.45/46.08 = 30.21/x
  3. Step 3: Cross multiply
    33.45x = 46.08 × 30.21
  4. Step 4: Simplify right side
    33.45x = 1,392.08
  5. Step 5: Solve for x
    x = 1,392.08/33.45
  6. Step 6: Final answer
    x = 41.62

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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.