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Finding the Fourth Proportional to 33.20, 45.85 and 30.28

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Solution

The fourth proportional to 33.20, 45.85 and 30.28 is: 41.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.20 : 45.85 = 30.28 : x
  2. Step 2: Convert to fraction form
    33.20/45.85 = 30.28/x
  3. Step 3: Cross multiply
    33.20x = 45.85 × 30.28
  4. Step 4: Simplify right side
    33.20x = 1,388.15
  5. Step 5: Solve for x
    x = 1,388.15/33.20
  6. Step 6: Final answer
    x = 41.82

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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.