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Finding the Fourth Proportional to 163.70, 225.93 and 97.30

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Solution

The fourth proportional to 163.70, 225.93 and 97.30 is: 134.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.70 : 225.93 = 97.30 : x
  2. Step 2: Convert to fraction form
    163.70/225.93 = 97.30/x
  3. Step 3: Cross multiply
    163.70x = 225.93 × 97.30
  4. Step 4: Simplify right side
    163.70x = 21,982.99
  5. Step 5: Solve for x
    x = 21,982.99/163.70
  6. Step 6: Final answer
    x = 134.29

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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.