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Finding the Fourth Proportional to 9.06, 13.61 and 5.69

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Solution

The fourth proportional to 9.06, 13.61 and 5.69 is: 8.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.06 : 13.61 = 5.69 : x
  2. Step 2: Convert to fraction form
    9.06/13.61 = 5.69/x
  3. Step 3: Cross multiply
    9.06x = 13.61 × 5.69
  4. Step 4: Simplify right side
    9.06x = 77.34
  5. Step 5: Solve for x
    x = 77.34/9.06
  6. Step 6: Final answer
    x = 8.54

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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.