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Finding the Fourth Proportional to 36.86, 55.24 and 21.64

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Solution

The fourth proportional to 36.86, 55.24 and 21.64 is: 32.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.86 : 55.24 = 21.64 : x
  2. Step 2: Convert to fraction form
    36.86/55.24 = 21.64/x
  3. Step 3: Cross multiply
    36.86x = 55.24 × 21.64
  4. Step 4: Simplify right side
    36.86x = 1,195.39
  5. Step 5: Solve for x
    x = 1,195.39/36.86
  6. Step 6: Final answer
    x = 32.43

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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.