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Finding the Fourth Proportional to 13.82, 19.02 and 11.53

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Solution

The fourth proportional to 13.82, 19.02 and 11.53 is: 15.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.82 : 19.02 = 11.53 : x
  2. Step 2: Convert to fraction form
    13.82/19.02 = 11.53/x
  3. Step 3: Cross multiply
    13.82x = 19.02 × 11.53
  4. Step 4: Simplify right side
    13.82x = 219.21
  5. Step 5: Solve for x
    x = 219.21/13.82
  6. Step 6: Final answer
    x = 15.86

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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.