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Finding the Fourth Proportional to 12.88, 17.75 and 8.02

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Solution

The fourth proportional to 12.88, 17.75 and 8.02 is: 11.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.88 : 17.75 = 8.02 : x
  2. Step 2: Convert to fraction form
    12.88/17.75 = 8.02/x
  3. Step 3: Cross multiply
    12.88x = 17.75 × 8.02
  4. Step 4: Simplify right side
    12.88x = 142.30
  5. Step 5: Solve for x
    x = 142.30/12.88
  6. Step 6: Final answer
    x = 11.05

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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.