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Finding the Fourth Proportional to 22.85, 34.28 and 10.83

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Solution

The fourth proportional to 22.85, 34.28 and 10.83 is: 16.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.85 : 34.28 = 10.83 : x
  2. Step 2: Convert to fraction form
    22.85/34.28 = 10.83/x
  3. Step 3: Cross multiply
    22.85x = 34.28 × 10.83
  4. Step 4: Simplify right side
    22.85x = 371.20
  5. Step 5: Solve for x
    x = 371.20/22.85
  6. Step 6: Final answer
    x = 16.25

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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.