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Finding the Fourth Proportional to 20.73, 31.06 and 11.71

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Solution

The fourth proportional to 20.73, 31.06 and 11.71 is: 17.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.73 : 31.06 = 11.71 : x
  2. Step 2: Convert to fraction form
    20.73/31.06 = 11.71/x
  3. Step 3: Cross multiply
    20.73x = 31.06 × 11.71
  4. Step 4: Simplify right side
    20.73x = 363.71
  5. Step 5: Solve for x
    x = 363.71/20.73
  6. Step 6: Final answer
    x = 17.55

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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.