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Finding the Fourth Proportional to 163.67, 225.83 and 101.46

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Solution

The fourth proportional to 163.67, 225.83 and 101.46 is: 139.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.67 : 225.83 = 101.46 : x
  2. Step 2: Convert to fraction form
    163.67/225.83 = 101.46/x
  3. Step 3: Cross multiply
    163.67x = 225.83 × 101.46
  4. Step 4: Simplify right side
    163.67x = 22,912.20
  5. Step 5: Solve for x
    x = 22,912.20/163.67
  6. Step 6: Final answer
    x = 139.99

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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.