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Finding the Fourth Proportional to 20.82, 31.01 and 20.07

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Solution

The fourth proportional to 20.82, 31.01 and 20.07 is: 29.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.82 : 31.01 = 20.07 : x
  2. Step 2: Convert to fraction form
    20.82/31.01 = 20.07/x
  3. Step 3: Cross multiply
    20.82x = 31.01 × 20.07
  4. Step 4: Simplify right side
    20.82x = 622.37
  5. Step 5: Solve for x
    x = 622.37/20.82
  6. Step 6: Final answer
    x = 29.90

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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.