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Finding the Fourth Proportional to 11.77, 17.56 and 11.44

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Solution

The fourth proportional to 11.77, 17.56 and 11.44 is: 17.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.77 : 17.56 = 11.44 : x
  2. Step 2: Convert to fraction form
    11.77/17.56 = 11.44/x
  3. Step 3: Cross multiply
    11.77x = 17.56 × 11.44
  4. Step 4: Simplify right side
    11.77x = 200.89
  5. Step 5: Solve for x
    x = 200.89/11.77
  6. Step 6: Final answer
    x = 17.07

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