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Finding the Fourth Proportional to 117.14, 161.60 and 80.34

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Solution

The fourth proportional to 117.14, 161.60 and 80.34 is: 110.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.14 : 161.60 = 80.34 : x
  2. Step 2: Convert to fraction form
    117.14/161.60 = 80.34/x
  3. Step 3: Cross multiply
    117.14x = 161.60 × 80.34
  4. Step 4: Simplify right side
    117.14x = 12,982.54
  5. Step 5: Solve for x
    x = 12,982.54/117.14
  6. Step 6: Final answer
    x = 110.83

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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.