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Finding the Fourth Proportional to 12.88, 17.76 and 12.80

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Solution

The fourth proportional to 12.88, 17.76 and 12.80 is: 17.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.88 : 17.76 = 12.80 : x
  2. Step 2: Convert to fraction form
    12.88/17.76 = 12.80/x
  3. Step 3: Cross multiply
    12.88x = 17.76 × 12.80
  4. Step 4: Simplify right side
    12.88x = 227.33
  5. Step 5: Solve for x
    x = 227.33/12.88
  6. Step 6: Final answer
    x = 17.65

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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.