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Finding the Fourth Proportional to 16.45, 22.64 and 12.80

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Solution

The fourth proportional to 16.45, 22.64 and 12.80 is: 17.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.45 : 22.64 = 12.80 : x
  2. Step 2: Convert to fraction form
    16.45/22.64 = 12.80/x
  3. Step 3: Cross multiply
    16.45x = 22.64 × 12.80
  4. Step 4: Simplify right side
    16.45x = 289.73
  5. Step 5: Solve for x
    x = 289.73/16.45
  6. Step 6: Final answer
    x = 17.62

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Why These Related Problems?

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