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Finding the Fourth Proportional to 163.28, 225.32 and 89.59

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Solution

The fourth proportional to 163.28, 225.32 and 89.59 is: 123.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.28 : 225.32 = 89.59 : x
  2. Step 2: Convert to fraction form
    163.28/225.32 = 89.59/x
  3. Step 3: Cross multiply
    163.28x = 225.32 × 89.59
  4. Step 4: Simplify right side
    163.28x = 20,186.42
  5. Step 5: Solve for x
    x = 20,186.42/163.28
  6. Step 6: Final answer
    x = 123.63

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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.