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Finding the Fourth Proportional to 163.69, 225.99 and 105.57

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Solution

The fourth proportional to 163.69, 225.99 and 105.57 is: 145.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.69 : 225.99 = 105.57 : x
  2. Step 2: Convert to fraction form
    163.69/225.99 = 105.57/x
  3. Step 3: Cross multiply
    163.69x = 225.99 × 105.57
  4. Step 4: Simplify right side
    163.69x = 23,857.76
  5. Step 5: Solve for x
    x = 23,857.76/163.69
  6. Step 6: Final answer
    x = 145.75

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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.