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Finding the Fourth Proportional to 163.76, 225.98 and 105.66

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Solution

The fourth proportional to 163.76, 225.98 and 105.66 is: 145.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.76 : 225.98 = 105.66 : x
  2. Step 2: Convert to fraction form
    163.76/225.98 = 105.66/x
  3. Step 3: Cross multiply
    163.76x = 225.98 × 105.66
  4. Step 4: Simplify right side
    163.76x = 23,877.05
  5. Step 5: Solve for x
    x = 23,877.05/163.76
  6. Step 6: Final answer
    x = 145.81

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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.