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Finding the Fourth Proportional to 20.06, 30.07 and 12.05

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Solution

The fourth proportional to 20.06, 30.07 and 12.05 is: 18.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.06 : 30.07 = 12.05 : x
  2. Step 2: Convert to fraction form
    20.06/30.07 = 12.05/x
  3. Step 3: Cross multiply
    20.06x = 30.07 × 12.05
  4. Step 4: Simplify right side
    20.06x = 362.13
  5. Step 5: Solve for x
    x = 362.13/20.06
  6. Step 6: Final answer
    x = 18.06

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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.