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Finding the Fourth Proportional to 33.59, 46.17 and 27.38

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Solution

The fourth proportional to 33.59, 46.17 and 27.38 is: 37.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.59 : 46.17 = 27.38 : x
  2. Step 2: Convert to fraction form
    33.59/46.17 = 27.38/x
  3. Step 3: Cross multiply
    33.59x = 46.17 × 27.38
  4. Step 4: Simplify right side
    33.59x = 1,263.90
  5. Step 5: Solve for x
    x = 1,263.90/33.59
  6. Step 6: Final answer
    x = 37.63

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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.