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Finding the Fourth Proportional to 11.75, 16.20 and 9.44

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Solution

The fourth proportional to 11.75, 16.20 and 9.44 is: 13.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.75 : 16.20 = 9.44 : x
  2. Step 2: Convert to fraction form
    11.75/16.20 = 9.44/x
  3. Step 3: Cross multiply
    11.75x = 16.20 × 9.44
  4. Step 4: Simplify right side
    11.75x = 152.89
  5. Step 5: Solve for x
    x = 152.89/11.75
  6. Step 6: Final answer
    x = 13.01

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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.