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Finding the Fourth Proportional to 36.23, 54.24 and 27.25

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Solution

The fourth proportional to 36.23, 54.24 and 27.25 is: 40.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.23 : 54.24 = 27.25 : x
  2. Step 2: Convert to fraction form
    36.23/54.24 = 27.25/x
  3. Step 3: Cross multiply
    36.23x = 54.24 × 27.25
  4. Step 4: Simplify right side
    36.23x = 1,477.90
  5. Step 5: Solve for x
    x = 1,477.90/36.23
  6. Step 6: Final answer
    x = 40.80

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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.