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Finding the Fourth Proportional to 36.63, 54.96 and 27.03

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Solution

The fourth proportional to 36.63, 54.96 and 27.03 is: 40.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.63 : 54.96 = 27.03 : x
  2. Step 2: Convert to fraction form
    36.63/54.96 = 27.03/x
  3. Step 3: Cross multiply
    36.63x = 54.96 × 27.03
  4. Step 4: Simplify right side
    36.63x = 1,485.57
  5. Step 5: Solve for x
    x = 1,485.57/36.63
  6. Step 6: Final answer
    x = 40.56

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Why These Related Problems?

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