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Finding the Fourth Proportional to 11.20, 15.46 and 10.22

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Solution

The fourth proportional to 11.20, 15.46 and 10.22 is: 14.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.20 : 15.46 = 10.22 : x
  2. Step 2: Convert to fraction form
    11.20/15.46 = 10.22/x
  3. Step 3: Cross multiply
    11.20x = 15.46 × 10.22
  4. Step 4: Simplify right side
    11.20x = 157.98
  5. Step 5: Solve for x
    x = 157.98/11.20
  6. Step 6: Final answer
    x = 14.10

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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.