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Finding the Fourth Proportional to 11.78, 17.65 and 7.78

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Solution

The fourth proportional to 11.78, 17.65 and 7.78 is: 11.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.78 : 17.65 = 7.78 : x
  2. Step 2: Convert to fraction form
    11.78/17.65 = 7.78/x
  3. Step 3: Cross multiply
    11.78x = 17.65 × 7.78
  4. Step 4: Simplify right side
    11.78x = 137.32
  5. Step 5: Solve for x
    x = 137.32/11.78
  6. Step 6: Final answer
    x = 11.66

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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.