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Finding the Fourth Proportional to 11.75, 16.21 and 9.03

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Solution

The fourth proportional to 11.75, 16.21 and 9.03 is: 12.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.75 : 16.21 = 9.03 : x
  2. Step 2: Convert to fraction form
    11.75/16.21 = 9.03/x
  3. Step 3: Cross multiply
    11.75x = 16.21 × 9.03
  4. Step 4: Simplify right side
    11.75x = 146.35
  5. Step 5: Solve for x
    x = 146.35/11.75
  6. Step 6: Final answer
    x = 12.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.