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Finding the Fourth Proportional to 16.45, 24.64 and 8.43

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Solution

The fourth proportional to 16.45, 24.64 and 8.43 is: 12.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.45 : 24.64 = 8.43 : x
  2. Step 2: Convert to fraction form
    16.45/24.64 = 8.43/x
  3. Step 3: Cross multiply
    16.45x = 24.64 × 8.43
  4. Step 4: Simplify right side
    16.45x = 207.72
  5. Step 5: Solve for x
    x = 207.72/16.45
  6. Step 6: Final answer
    x = 12.63

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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.