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Finding the Fourth Proportional to 36.83, 55.10 and 21.56

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Solution

The fourth proportional to 36.83, 55.10 and 21.56 is: 32.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.83 : 55.10 = 21.56 : x
  2. Step 2: Convert to fraction form
    36.83/55.10 = 21.56/x
  3. Step 3: Cross multiply
    36.83x = 55.10 × 21.56
  4. Step 4: Simplify right side
    36.83x = 1,187.57
  5. Step 5: Solve for x
    x = 1,187.57/36.83
  6. Step 6: Final answer
    x = 32.25

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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.