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Finding the Fourth Proportional to 9.06, 13.63 and 7.66

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Solution

The fourth proportional to 9.06, 13.63 and 7.66 is: 11.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.06 : 13.63 = 7.66 : x
  2. Step 2: Convert to fraction form
    9.06/13.63 = 7.66/x
  3. Step 3: Cross multiply
    9.06x = 13.63 × 7.66
  4. Step 4: Simplify right side
    9.06x = 104.41
  5. Step 5: Solve for x
    x = 104.41/9.06
  6. Step 6: Final answer
    x = 11.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.