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Finding the Fourth Proportional to 33.37, 46.14 and 27.90

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Solution

The fourth proportional to 33.37, 46.14 and 27.90 is: 38.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.37 : 46.14 = 27.90 : x
  2. Step 2: Convert to fraction form
    33.37/46.14 = 27.90/x
  3. Step 3: Cross multiply
    33.37x = 46.14 × 27.90
  4. Step 4: Simplify right side
    33.37x = 1,287.20
  5. Step 5: Solve for x
    x = 1,287.20/33.37
  6. Step 6: Final answer
    x = 38.58

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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.