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Finding the Fourth Proportional to 36.63, 50.55 and 20.25

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Solution

The fourth proportional to 36.63, 50.55 and 20.25 is: 27.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.63 : 50.55 = 20.25 : x
  2. Step 2: Convert to fraction form
    36.63/50.55 = 20.25/x
  3. Step 3: Cross multiply
    36.63x = 50.55 × 20.25
  4. Step 4: Simplify right side
    36.63x = 1,023.66
  5. Step 5: Solve for x
    x = 1,023.66/36.63
  6. Step 6: Final answer
    x = 27.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.