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Finding the Fourth Proportional to 173.62, 260.20 and 96.62

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Solution

The fourth proportional to 173.62, 260.20 and 96.62 is: 144.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.62 : 260.20 = 96.62 : x
  2. Step 2: Convert to fraction form
    173.62/260.20 = 96.62/x
  3. Step 3: Cross multiply
    173.62x = 260.20 × 96.62
  4. Step 4: Simplify right side
    173.62x = 25,141.22
  5. Step 5: Solve for x
    x = 25,141.22/173.62
  6. Step 6: Final answer
    x = 144.80

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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.