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Finding the Fourth Proportional to 16.30, 24.46 and 8.30

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Solution

The fourth proportional to 16.30, 24.46 and 8.30 is: 12.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.30 : 24.46 = 8.30 : x
  2. Step 2: Convert to fraction form
    16.30/24.46 = 8.30/x
  3. Step 3: Cross multiply
    16.30x = 24.46 × 8.30
  4. Step 4: Simplify right side
    16.30x = 203.02
  5. Step 5: Solve for x
    x = 203.02/16.30
  6. Step 6: Final answer
    x = 12.46

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Why These Related Problems?

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