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Finding the Fourth Proportional to 20.86, 31.22 and 11.81

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Solution

The fourth proportional to 20.86, 31.22 and 11.81 is: 17.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.86 : 31.22 = 11.81 : x
  2. Step 2: Convert to fraction form
    20.86/31.22 = 11.81/x
  3. Step 3: Cross multiply
    20.86x = 31.22 × 11.81
  4. Step 4: Simplify right side
    20.86x = 368.77
  5. Step 5: Solve for x
    x = 368.77/20.86
  6. Step 6: Final answer
    x = 17.68

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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.