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Finding the Fourth Proportional to 9.11, 13.62 and 7.59

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Solution

The fourth proportional to 9.11, 13.62 and 7.59 is: 11.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.11 : 13.62 = 7.59 : x
  2. Step 2: Convert to fraction form
    9.11/13.62 = 7.59/x
  3. Step 3: Cross multiply
    9.11x = 13.62 × 7.59
  4. Step 4: Simplify right side
    9.11x = 103.41
  5. Step 5: Solve for x
    x = 103.41/9.11
  6. Step 6: Final answer
    x = 11.35

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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.