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Finding the Fourth Proportional to 163.27, 225.40 and 111.09

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Solution

The fourth proportional to 163.27, 225.40 and 111.09 is: 153.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.27 : 225.40 = 111.09 : x
  2. Step 2: Convert to fraction form
    163.27/225.40 = 111.09/x
  3. Step 3: Cross multiply
    163.27x = 225.40 × 111.09
  4. Step 4: Simplify right side
    163.27x = 25,039.69
  5. Step 5: Solve for x
    x = 25,039.69/163.27
  6. Step 6: Final answer
    x = 153.36

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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.