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Finding the Fourth Proportional to 163.62, 225.78 and 104.70

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Solution

The fourth proportional to 163.62, 225.78 and 104.70 is: 144.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.62 : 225.78 = 104.70 : x
  2. Step 2: Convert to fraction form
    163.62/225.78 = 104.70/x
  3. Step 3: Cross multiply
    163.62x = 225.78 × 104.70
  4. Step 4: Simplify right side
    163.62x = 23,639.17
  5. Step 5: Solve for x
    x = 23,639.17/163.62
  6. Step 6: Final answer
    x = 144.48

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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.