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Finding the Fourth Proportional to 20.86, 31.23 and 20.59

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Solution

The fourth proportional to 20.86, 31.23 and 20.59 is: 30.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.86 : 31.23 = 20.59 : x
  2. Step 2: Convert to fraction form
    20.86/31.23 = 20.59/x
  3. Step 3: Cross multiply
    20.86x = 31.23 × 20.59
  4. Step 4: Simplify right side
    20.86x = 643.03
  5. Step 5: Solve for x
    x = 643.03/20.86
  6. Step 6: Final answer
    x = 30.83

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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.