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Finding the Fourth Proportional to 9.02, 12.38 and 8.66

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Solution

The fourth proportional to 9.02, 12.38 and 8.66 is: 11.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.02 : 12.38 = 8.66 : x
  2. Step 2: Convert to fraction form
    9.02/12.38 = 8.66/x
  3. Step 3: Cross multiply
    9.02x = 12.38 × 8.66
  4. Step 4: Simplify right side
    9.02x = 107.21
  5. Step 5: Solve for x
    x = 107.21/9.02
  6. Step 6: Final answer
    x = 11.89

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.