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Finding the Fourth Proportional to 12.82, 17.69 and 7.36

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Solution

The fourth proportional to 12.82, 17.69 and 7.36 is: 10.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.82 : 17.69 = 7.36 : x
  2. Step 2: Convert to fraction form
    12.82/17.69 = 7.36/x
  3. Step 3: Cross multiply
    12.82x = 17.69 × 7.36
  4. Step 4: Simplify right side
    12.82x = 130.22
  5. Step 5: Solve for x
    x = 130.22/12.82
  6. Step 6: Final answer
    x = 10.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.