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Finding the Fourth Proportional to 163.22, 225.23 and 89.52

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Solution

The fourth proportional to 163.22, 225.23 and 89.52 is: 123.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.22 : 225.23 = 89.52 : x
  2. Step 2: Convert to fraction form
    163.22/225.23 = 89.52/x
  3. Step 3: Cross multiply
    163.22x = 225.23 × 89.52
  4. Step 4: Simplify right side
    163.22x = 20,162.14
  5. Step 5: Solve for x
    x = 20,162.14/163.22
  6. Step 6: Final answer
    x = 123.53

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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.