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Finding the Fourth Proportional to 16.57, 24.82 and 16.20

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Solution

The fourth proportional to 16.57, 24.82 and 16.20 is: 24.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.57 : 24.82 = 16.20 : x
  2. Step 2: Convert to fraction form
    16.57/24.82 = 16.20/x
  3. Step 3: Cross multiply
    16.57x = 24.82 × 16.20
  4. Step 4: Simplify right side
    16.57x = 402.08
  5. Step 5: Solve for x
    x = 402.08/16.57
  6. Step 6: Final answer
    x = 24.27

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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.