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Finding the Fourth Proportional to 116.27, 173.37 and 107.41

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Solution

The fourth proportional to 116.27, 173.37 and 107.41 is: 160.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.27 : 173.37 = 107.41 : x
  2. Step 2: Convert to fraction form
    116.27/173.37 = 107.41/x
  3. Step 3: Cross multiply
    116.27x = 173.37 × 107.41
  4. Step 4: Simplify right side
    116.27x = 18,621.67
  5. Step 5: Solve for x
    x = 18,621.67/116.27
  6. Step 6: Final answer
    x = 160.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.