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Finding the Fourth Proportional to 13.24, 19.71 and 13.21

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Solution

The fourth proportional to 13.24, 19.71 and 13.21 is: 19.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.24 : 19.71 = 13.21 : x
  2. Step 2: Convert to fraction form
    13.24/19.71 = 13.21/x
  3. Step 3: Cross multiply
    13.24x = 19.71 × 13.21
  4. Step 4: Simplify right side
    13.24x = 260.37
  5. Step 5: Solve for x
    x = 260.37/13.24
  6. Step 6: Final answer
    x = 19.67

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.