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Finding the Fourth Proportional to 11.77, 17.57 and 11.47

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Solution

The fourth proportional to 11.77, 17.57 and 11.47 is: 17.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.77 : 17.57 = 11.47 : x
  2. Step 2: Convert to fraction form
    11.77/17.57 = 11.47/x
  3. Step 3: Cross multiply
    11.77x = 17.57 × 11.47
  4. Step 4: Simplify right side
    11.77x = 201.52
  5. Step 5: Solve for x
    x = 201.52/11.77
  6. Step 6: Final answer
    x = 17.12

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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.