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Finding the Fourth Proportional to 116.32, 173.94 and 113.20

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Solution

The fourth proportional to 116.32, 173.94 and 113.20 is: 169.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.32 : 173.94 = 113.20 : x
  2. Step 2: Convert to fraction form
    116.32/173.94 = 113.20/x
  3. Step 3: Cross multiply
    116.32x = 173.94 × 113.20
  4. Step 4: Simplify right side
    116.32x = 19,690.01
  5. Step 5: Solve for x
    x = 19,690.01/116.32
  6. Step 6: Final answer
    x = 169.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.