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Finding the Fourth Proportional to 7.66, 11.41 and 7.54

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Solution

The fourth proportional to 7.66, 11.41 and 7.54 is: 11.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.66 : 11.41 = 7.54 : x
  2. Step 2: Convert to fraction form
    7.66/11.41 = 7.54/x
  3. Step 3: Cross multiply
    7.66x = 11.41 × 7.54
  4. Step 4: Simplify right side
    7.66x = 86.03
  5. Step 5: Solve for x
    x = 86.03/7.66
  6. Step 6: Final answer
    x = 11.23

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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.