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Finding the Fourth Proportional to 163.38, 225.36 and 101.16

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Solution

The fourth proportional to 163.38, 225.36 and 101.16 is: 139.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.38 : 225.36 = 101.16 : x
  2. Step 2: Convert to fraction form
    163.38/225.36 = 101.16/x
  3. Step 3: Cross multiply
    163.38x = 225.36 × 101.16
  4. Step 4: Simplify right side
    163.38x = 22,798.09
  5. Step 5: Solve for x
    x = 22,798.09/163.38
  6. Step 6: Final answer
    x = 139.54

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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.