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Finding the Fourth Proportional to 116.28, 173.34 and 111.24

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Solution

The fourth proportional to 116.28, 173.34 and 111.24 is: 165.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.28 : 173.34 = 111.24 : x
  2. Step 2: Convert to fraction form
    116.28/173.34 = 111.24/x
  3. Step 3: Cross multiply
    116.28x = 173.34 × 111.24
  4. Step 4: Simplify right side
    116.28x = 19,282.34
  5. Step 5: Solve for x
    x = 19,282.34/116.28
  6. Step 6: Final answer
    x = 165.83

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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.