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Finding the Fourth Proportional to 163.38, 225.36 and 105.15

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Solution

The fourth proportional to 163.38, 225.36 and 105.15 is: 145.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.38 : 225.36 = 105.15 : x
  2. Step 2: Convert to fraction form
    163.38/225.36 = 105.15/x
  3. Step 3: Cross multiply
    163.38x = 225.36 × 105.15
  4. Step 4: Simplify right side
    163.38x = 23,696.60
  5. Step 5: Solve for x
    x = 23,696.60/163.38
  6. Step 6: Final answer
    x = 145.04

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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.