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Finding the Fourth Proportional to 11.94, 17.82 and 10.14

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Solution

The fourth proportional to 11.94, 17.82 and 10.14 is: 15.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.94 : 17.82 = 10.14 : x
  2. Step 2: Convert to fraction form
    11.94/17.82 = 10.14/x
  3. Step 3: Cross multiply
    11.94x = 17.82 × 10.14
  4. Step 4: Simplify right side
    11.94x = 180.69
  5. Step 5: Solve for x
    x = 180.69/11.94
  6. Step 6: Final answer
    x = 15.13

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.