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Finding the Fourth Proportional to 163.05, 224.96 and 104.05

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Solution

The fourth proportional to 163.05, 224.96 and 104.05 is: 143.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.05 : 224.96 = 104.05 : x
  2. Step 2: Convert to fraction form
    163.05/224.96 = 104.05/x
  3. Step 3: Cross multiply
    163.05x = 224.96 × 104.05
  4. Step 4: Simplify right side
    163.05x = 23,406.57
  5. Step 5: Solve for x
    x = 23,406.57/163.05
  6. Step 6: Final answer
    x = 143.56

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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.