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Finding the Fourth Proportional to 13.24, 19.56 and 13.24

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Solution

The fourth proportional to 13.24, 19.56 and 13.24 is: 19.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.24 : 19.56 = 13.24 : x
  2. Step 2: Convert to fraction form
    13.24/19.56 = 13.24/x
  3. Step 3: Cross multiply
    13.24x = 19.56 × 13.24
  4. Step 4: Simplify right side
    13.24x = 258.97
  5. Step 5: Solve for x
    x = 258.97/13.24
  6. Step 6: Final answer
    x = 19.56

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.