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Finding the Fourth Proportional to 161.84, 223.43 and 99.69

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Solution

The fourth proportional to 161.84, 223.43 and 99.69 is: 137.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.84 : 223.43 = 99.69 : x
  2. Step 2: Convert to fraction form
    161.84/223.43 = 99.69/x
  3. Step 3: Cross multiply
    161.84x = 223.43 × 99.69
  4. Step 4: Simplify right side
    161.84x = 22,273.24
  5. Step 5: Solve for x
    x = 22,273.24/161.84
  6. Step 6: Final answer
    x = 137.63

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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.