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Finding the Fourth Proportional to 10.75, 16.07 and 7.88

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Solution

The fourth proportional to 10.75, 16.07 and 7.88 is: 11.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.75 : 16.07 = 7.88 : x
  2. Step 2: Convert to fraction form
    10.75/16.07 = 7.88/x
  3. Step 3: Cross multiply
    10.75x = 16.07 × 7.88
  4. Step 4: Simplify right side
    10.75x = 126.63
  5. Step 5: Solve for x
    x = 126.63/10.75
  6. Step 6: Final answer
    x = 11.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.