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Finding the Fourth Proportional to 116.13, 173.13 and 109.24

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Solution

The fourth proportional to 116.13, 173.13 and 109.24 is: 162.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.13 : 173.13 = 109.24 : x
  2. Step 2: Convert to fraction form
    116.13/173.13 = 109.24/x
  3. Step 3: Cross multiply
    116.13x = 173.13 × 109.24
  4. Step 4: Simplify right side
    116.13x = 18,912.72
  5. Step 5: Solve for x
    x = 18,912.72/116.13
  6. Step 6: Final answer
    x = 162.86

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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.