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Finding the Fourth Proportional to 19.87, 27.43 and 11.69

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Solution

The fourth proportional to 19.87, 27.43 and 11.69 is: 16.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.87 : 27.43 = 11.69 : x
  2. Step 2: Convert to fraction form
    19.87/27.43 = 11.69/x
  3. Step 3: Cross multiply
    19.87x = 27.43 × 11.69
  4. Step 4: Simplify right side
    19.87x = 320.59
  5. Step 5: Solve for x
    x = 320.59/19.87
  6. Step 6: Final answer
    x = 16.14

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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.