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Finding the Fourth Proportional to 16.10, 22.20 and 9.62

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Solution

The fourth proportional to 16.10, 22.20 and 9.62 is: 13.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.10 : 22.20 = 9.62 : x
  2. Step 2: Convert to fraction form
    16.10/22.20 = 9.62/x
  3. Step 3: Cross multiply
    16.10x = 22.20 × 9.62
  4. Step 4: Simplify right side
    16.10x = 213.56
  5. Step 5: Solve for x
    x = 213.56/16.10
  6. Step 6: Final answer
    x = 13.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.