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Finding the Fourth Proportional to 11.86, 17.77 and 7.57

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Solution

The fourth proportional to 11.86, 17.77 and 7.57 is: 11.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.86 : 17.77 = 7.57 : x
  2. Step 2: Convert to fraction form
    11.86/17.77 = 7.57/x
  3. Step 3: Cross multiply
    11.86x = 17.77 × 7.57
  4. Step 4: Simplify right side
    11.86x = 134.52
  5. Step 5: Solve for x
    x = 134.52/11.86
  6. Step 6: Final answer
    x = 11.34

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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.