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Finding the Fourth Proportional to 28.31, 42.37 and 20.30

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Solution

The fourth proportional to 28.31, 42.37 and 20.30 is: 30.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.31 : 42.37 = 20.30 : x
  2. Step 2: Convert to fraction form
    28.31/42.37 = 20.30/x
  3. Step 3: Cross multiply
    28.31x = 42.37 × 20.30
  4. Step 4: Simplify right side
    28.31x = 859.85
  5. Step 5: Solve for x
    x = 859.85/28.31
  6. Step 6: Final answer
    x = 30.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.