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Finding the Fourth Proportional to 161.82, 223.06 and 129.08

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Solution

The fourth proportional to 161.82, 223.06 and 129.08 is: 177.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.82 : 223.06 = 129.08 : x
  2. Step 2: Convert to fraction form
    161.82/223.06 = 129.08/x
  3. Step 3: Cross multiply
    161.82x = 223.06 × 129.08
  4. Step 4: Simplify right side
    161.82x = 28,792.58
  5. Step 5: Solve for x
    x = 28,792.58/161.82
  6. Step 6: Final answer
    x = 177.93

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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.