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Finding the Fourth Proportional to 116.10, 173.14 and 113.27

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Solution

The fourth proportional to 116.10, 173.14 and 113.27 is: 168.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.10 : 173.14 = 113.27 : x
  2. Step 2: Convert to fraction form
    116.10/173.14 = 113.27/x
  3. Step 3: Cross multiply
    116.10x = 173.14 × 113.27
  4. Step 4: Simplify right side
    116.10x = 19,610.42
  5. Step 5: Solve for x
    x = 19,610.42/116.10
  6. Step 6: Final answer
    x = 168.91

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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.