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Finding the Fourth Proportional to 13.61, 20.36 and 13.22

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Solution

The fourth proportional to 13.61, 20.36 and 13.22 is: 19.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.61 : 20.36 = 13.22 : x
  2. Step 2: Convert to fraction form
    13.61/20.36 = 13.22/x
  3. Step 3: Cross multiply
    13.61x = 20.36 × 13.22
  4. Step 4: Simplify right side
    13.61x = 268.99
  5. Step 5: Solve for x
    x = 268.99/13.61
  6. Step 6: Final answer
    x = 19.77

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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.