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Finding the Fourth Proportional to 163.58, 225.82 and 105.46

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Solution

The fourth proportional to 163.58, 225.82 and 105.46 is: 145.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.58 : 225.82 = 105.46 : x
  2. Step 2: Convert to fraction form
    163.58/225.82 = 105.46/x
  3. Step 3: Cross multiply
    163.58x = 225.82 × 105.46
  4. Step 4: Simplify right side
    163.58x = 23,814.98
  5. Step 5: Solve for x
    x = 23,814.98/163.58
  6. Step 6: Final answer
    x = 145.59

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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.