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Finding the Fourth Proportional to 173.05, 259.61 and 81.70

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Solution

The fourth proportional to 173.05, 259.61 and 81.70 is: 122.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.05 : 259.61 = 81.70 : x
  2. Step 2: Convert to fraction form
    173.05/259.61 = 81.70/x
  3. Step 3: Cross multiply
    173.05x = 259.61 × 81.70
  4. Step 4: Simplify right side
    173.05x = 21,209.08
  5. Step 5: Solve for x
    x = 21,209.08/173.05
  6. Step 6: Final answer
    x = 122.56

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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.