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Finding the Fourth Proportional to 33.58, 46.15 and 28.11

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Solution

The fourth proportional to 33.58, 46.15 and 28.11 is: 38.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.58 : 46.15 = 28.11 : x
  2. Step 2: Convert to fraction form
    33.58/46.15 = 28.11/x
  3. Step 3: Cross multiply
    33.58x = 46.15 × 28.11
  4. Step 4: Simplify right side
    33.58x = 1,297.14
  5. Step 5: Solve for x
    x = 1,297.14/33.58
  6. Step 6: Final answer
    x = 38.63

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.