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Finding the Fourth Proportional to 9.54, 13.09 and 9.03

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Solution

The fourth proportional to 9.54, 13.09 and 9.03 is: 12.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.54 : 13.09 = 9.03 : x
  2. Step 2: Convert to fraction form
    9.54/13.09 = 9.03/x
  3. Step 3: Cross multiply
    9.54x = 13.09 × 9.03
  4. Step 4: Simplify right side
    9.54x = 118.20
  5. Step 5: Solve for x
    x = 118.20/9.54
  6. Step 6: Final answer
    x = 12.39

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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.