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Finding the Fourth Proportional to 161.63, 223 and 105.63

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Solution

The fourth proportional to 161.63, 223 and 105.63 is: 145.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.63 : 223 = 105.63 : x
  2. Step 2: Convert to fraction form
    161.63/223 = 105.63/x
  3. Step 3: Cross multiply
    161.63x = 223 × 105.63
  4. Step 4: Simplify right side
    161.63x = 23,555.49
  5. Step 5: Solve for x
    x = 23,555.49/161.63
  6. Step 6: Final answer
    x = 145.74

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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.