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Finding the Fourth Proportional to 11.66, 16.07 and 7.56

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Solution

The fourth proportional to 11.66, 16.07 and 7.56 is: 10.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.66 : 16.07 = 7.56 : x
  2. Step 2: Convert to fraction form
    11.66/16.07 = 7.56/x
  3. Step 3: Cross multiply
    11.66x = 16.07 × 7.56
  4. Step 4: Simplify right side
    11.66x = 121.49
  5. Step 5: Solve for x
    x = 121.49/11.66
  6. Step 6: Final answer
    x = 10.42

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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.