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Finding the Fourth Proportional to 36.85, 55.23 and 20.77

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Solution

The fourth proportional to 36.85, 55.23 and 20.77 is: 31.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.85 : 55.23 = 20.77 : x
  2. Step 2: Convert to fraction form
    36.85/55.23 = 20.77/x
  3. Step 3: Cross multiply
    36.85x = 55.23 × 20.77
  4. Step 4: Simplify right side
    36.85x = 1,147.13
  5. Step 5: Solve for x
    x = 1,147.13/36.85
  6. Step 6: Final answer
    x = 31.13

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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.