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Finding the Fourth Proportional to 163.08, 225.04 and 97.60

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Solution

The fourth proportional to 163.08, 225.04 and 97.60 is: 134.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.08 : 225.04 = 97.60 : x
  2. Step 2: Convert to fraction form
    163.08/225.04 = 97.60/x
  3. Step 3: Cross multiply
    163.08x = 225.04 × 97.60
  4. Step 4: Simplify right side
    163.08x = 21,963.90
  5. Step 5: Solve for x
    x = 21,963.90/163.08
  6. Step 6: Final answer
    x = 134.68

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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.