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Finding the Fourth Proportional to 23.31, 34.77 and 20.28

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Solution

The fourth proportional to 23.31, 34.77 and 20.28 is: 30.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.31 : 34.77 = 20.28 : x
  2. Step 2: Convert to fraction form
    23.31/34.77 = 20.28/x
  3. Step 3: Cross multiply
    23.31x = 34.77 × 20.28
  4. Step 4: Simplify right side
    23.31x = 705.14
  5. Step 5: Solve for x
    x = 705.14/23.31
  6. Step 6: Final answer
    x = 30.25

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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.