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Finding the Fourth Proportional to 116.85, 161.13 and 83.64

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Solution

The fourth proportional to 116.85, 161.13 and 83.64 is: 115.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.85 : 161.13 = 83.64 : x
  2. Step 2: Convert to fraction form
    116.85/161.13 = 83.64/x
  3. Step 3: Cross multiply
    116.85x = 161.13 × 83.64
  4. Step 4: Simplify right side
    116.85x = 13,476.91
  5. Step 5: Solve for x
    x = 13,476.91/116.85
  6. Step 6: Final answer
    x = 115.34

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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.