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Finding the Fourth Proportional to 116.44, 173.63 and 108.07

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Solution

The fourth proportional to 116.44, 173.63 and 108.07 is: 161.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.44 : 173.63 = 108.07 : x
  2. Step 2: Convert to fraction form
    116.44/173.63 = 108.07/x
  3. Step 3: Cross multiply
    116.44x = 173.63 × 108.07
  4. Step 4: Simplify right side
    116.44x = 18,764.03
  5. Step 5: Solve for x
    x = 18,764.03/116.44
  6. Step 6: Final answer
    x = 161.15

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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.