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Finding the Fourth Proportional to 11.12, 15.22 and 10.71

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Solution

The fourth proportional to 11.12, 15.22 and 10.71 is: 14.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.12 : 15.22 = 10.71 : x
  2. Step 2: Convert to fraction form
    11.12/15.22 = 10.71/x
  3. Step 3: Cross multiply
    11.12x = 15.22 × 10.71
  4. Step 4: Simplify right side
    11.12x = 162.98
  5. Step 5: Solve for x
    x = 162.98/11.12
  6. Step 6: Final answer
    x = 14.66

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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.