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Finding the Fourth Proportional to 13.06, 19.59 and 12.82

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Solution

The fourth proportional to 13.06, 19.59 and 12.82 is: 19.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.06 : 19.59 = 12.82 : x
  2. Step 2: Convert to fraction form
    13.06/19.59 = 12.82/x
  3. Step 3: Cross multiply
    13.06x = 19.59 × 12.82
  4. Step 4: Simplify right side
    13.06x = 251.14
  5. Step 5: Solve for x
    x = 251.14/13.06
  6. Step 6: Final answer
    x = 19.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.