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Finding the Fourth Proportional to 163.46, 225.54 and 105.23

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Solution

The fourth proportional to 163.46, 225.54 and 105.23 is: 145.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.46 : 225.54 = 105.23 : x
  2. Step 2: Convert to fraction form
    163.46/225.54 = 105.23/x
  3. Step 3: Cross multiply
    163.46x = 225.54 × 105.23
  4. Step 4: Simplify right side
    163.46x = 23,733.57
  5. Step 5: Solve for x
    x = 23,733.57/163.46
  6. Step 6: Final answer
    x = 145.19

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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.