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Finding the Fourth Proportional to 116.97, 175.08 and 107.22

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Solution

The fourth proportional to 116.97, 175.08 and 107.22 is: 160.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.97 : 175.08 = 107.22 : x
  2. Step 2: Convert to fraction form
    116.97/175.08 = 107.22/x
  3. Step 3: Cross multiply
    116.97x = 175.08 × 107.22
  4. Step 4: Simplify right side
    116.97x = 18,772.08
  5. Step 5: Solve for x
    x = 18,772.08/116.97
  6. Step 6: Final answer
    x = 160.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.