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Finding the Fourth Proportional to 116.85, 161.17 and 84.05

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Solution

The fourth proportional to 116.85, 161.17 and 84.05 is: 115.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.85 : 161.17 = 84.05 : x
  2. Step 2: Convert to fraction form
    116.85/161.17 = 84.05/x
  3. Step 3: Cross multiply
    116.85x = 161.17 × 84.05
  4. Step 4: Simplify right side
    116.85x = 13,546.34
  5. Step 5: Solve for x
    x = 13,546.34/116.85
  6. Step 6: Final answer
    x = 115.93

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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.