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Finding the Fourth Proportional to 33.62, 46.31 and 27.77

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Solution

The fourth proportional to 33.62, 46.31 and 27.77 is: 38.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.62 : 46.31 = 27.77 : x
  2. Step 2: Convert to fraction form
    33.62/46.31 = 27.77/x
  3. Step 3: Cross multiply
    33.62x = 46.31 × 27.77
  4. Step 4: Simplify right side
    33.62x = 1,285.66
  5. Step 5: Solve for x
    x = 1,285.66/33.62
  6. Step 6: Final answer
    x = 38.25

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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.