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Finding the Fourth Proportional to 20.02, 29.81 and 19.96

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Solution

The fourth proportional to 20.02, 29.81 and 19.96 is: 29.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.02 : 29.81 = 19.96 : x
  2. Step 2: Convert to fraction form
    20.02/29.81 = 19.96/x
  3. Step 3: Cross multiply
    20.02x = 29.81 × 19.96
  4. Step 4: Simplify right side
    20.02x = 595.01
  5. Step 5: Solve for x
    x = 595.01/20.02
  6. Step 6: Final answer
    x = 29.72

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.