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Finding the Fourth Proportional to 20.94, 29.01 and 20.02

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Solution

The fourth proportional to 20.94, 29.01 and 20.02 is: 27.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.94 : 29.01 = 20.02 : x
  2. Step 2: Convert to fraction form
    20.94/29.01 = 20.02/x
  3. Step 3: Cross multiply
    20.94x = 29.01 × 20.02
  4. Step 4: Simplify right side
    20.94x = 580.54
  5. Step 5: Solve for x
    x = 580.54/20.94
  6. Step 6: Final answer
    x = 27.72

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.