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Finding the Fourth Proportional to 46.37, 69.41 and 27.09

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Solution

The fourth proportional to 46.37, 69.41 and 27.09 is: 40.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.37 : 69.41 = 27.09 : x
  2. Step 2: Convert to fraction form
    46.37/69.41 = 27.09/x
  3. Step 3: Cross multiply
    46.37x = 69.41 × 27.09
  4. Step 4: Simplify right side
    46.37x = 1,880.38
  5. Step 5: Solve for x
    x = 1,880.38/46.37
  6. Step 6: Final answer
    x = 40.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.