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Finding the Fourth Proportional to 7.41, 11.17 and 7.20

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Solution

The fourth proportional to 7.41, 11.17 and 7.20 is: 10.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.41 : 11.17 = 7.20 : x
  2. Step 2: Convert to fraction form
    7.41/11.17 = 7.20/x
  3. Step 3: Cross multiply
    7.41x = 11.17 × 7.20
  4. Step 4: Simplify right side
    7.41x = 80.42
  5. Step 5: Solve for x
    x = 80.42/7.41
  6. Step 6: Final answer
    x = 10.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.