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Finding the Fourth Proportional to 20.43, 30.71 and 18.09

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Solution

The fourth proportional to 20.43, 30.71 and 18.09 is: 27.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.43 : 30.71 = 18.09 : x
  2. Step 2: Convert to fraction form
    20.43/30.71 = 18.09/x
  3. Step 3: Cross multiply
    20.43x = 30.71 × 18.09
  4. Step 4: Simplify right side
    20.43x = 555.45
  5. Step 5: Solve for x
    x = 555.45/20.43
  6. Step 6: Final answer
    x = 27.19

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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.