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Finding the Fourth Proportional to 13.22, 19.82 and 10.54

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Solution

The fourth proportional to 13.22, 19.82 and 10.54 is: 15.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.22 : 19.82 = 10.54 : x
  2. Step 2: Convert to fraction form
    13.22/19.82 = 10.54/x
  3. Step 3: Cross multiply
    13.22x = 19.82 × 10.54
  4. Step 4: Simplify right side
    13.22x = 208.90
  5. Step 5: Solve for x
    x = 208.90/13.22
  6. Step 6: Final answer
    x = 15.80

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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.