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Finding the Fourth Proportional to 163.22, 225.14 and 101.07

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Solution

The fourth proportional to 163.22, 225.14 and 101.07 is: 139.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.22 : 225.14 = 101.07 : x
  2. Step 2: Convert to fraction form
    163.22/225.14 = 101.07/x
  3. Step 3: Cross multiply
    163.22x = 225.14 × 101.07
  4. Step 4: Simplify right side
    163.22x = 22,754.39
  5. Step 5: Solve for x
    x = 22,754.39/163.22
  6. Step 6: Final answer
    x = 139.41

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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.