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Finding the Fourth Proportional to 18.20, 27.07 and 17.12

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Solution

The fourth proportional to 18.20, 27.07 and 17.12 is: 25.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.20 : 27.07 = 17.12 : x
  2. Step 2: Convert to fraction form
    18.20/27.07 = 17.12/x
  3. Step 3: Cross multiply
    18.20x = 27.07 × 17.12
  4. Step 4: Simplify right side
    18.20x = 463.29
  5. Step 5: Solve for x
    x = 463.29/18.20
  6. Step 6: Final answer
    x = 25.46

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Why These Related Problems?

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