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Finding the Fourth Proportional to 18.54, 27.82 and 13.48

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Solution

The fourth proportional to 18.54, 27.82 and 13.48 is: 20.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.54 : 27.82 = 13.48 : x
  2. Step 2: Convert to fraction form
    18.54/27.82 = 13.48/x
  3. Step 3: Cross multiply
    18.54x = 27.82 × 13.48
  4. Step 4: Simplify right side
    18.54x = 375.01
  5. Step 5: Solve for x
    x = 375.01/18.54
  6. Step 6: Final answer
    x = 20.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.