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Finding the Fourth Proportional to 19.87, 27.41 and 13.40

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Solution

The fourth proportional to 19.87, 27.41 and 13.40 is: 18.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.87 : 27.41 = 13.40 : x
  2. Step 2: Convert to fraction form
    19.87/27.41 = 13.40/x
  3. Step 3: Cross multiply
    19.87x = 27.41 × 13.40
  4. Step 4: Simplify right side
    19.87x = 367.23
  5. Step 5: Solve for x
    x = 367.23/19.87
  6. Step 6: Final answer
    x = 18.49

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Why These Related Problems?

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