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Finding the Fourth Proportional to 163.50, 225.64 and 89.83

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Solution

The fourth proportional to 163.50, 225.64 and 89.83 is: 123.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.50 : 225.64 = 89.83 : x
  2. Step 2: Convert to fraction form
    163.50/225.64 = 89.83/x
  3. Step 3: Cross multiply
    163.50x = 225.64 × 89.83
  4. Step 4: Simplify right side
    163.50x = 20,269.24
  5. Step 5: Solve for x
    x = 20,269.24/163.50
  6. Step 6: Final answer
    x = 123.97

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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.