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Finding the Fourth Proportional to 116.80, 161.36 and 108.64

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Solution

The fourth proportional to 116.80, 161.36 and 108.64 is: 150.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.80 : 161.36 = 108.64 : x
  2. Step 2: Convert to fraction form
    116.80/161.36 = 108.64/x
  3. Step 3: Cross multiply
    116.80x = 161.36 × 108.64
  4. Step 4: Simplify right side
    116.80x = 17,530.15
  5. Step 5: Solve for x
    x = 17,530.15/116.80
  6. Step 6: Final answer
    x = 150.09

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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.