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Finding the Fourth Proportional to 173.39, 259.99 and 82.09

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Solution

The fourth proportional to 173.39, 259.99 and 82.09 is: 123.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.39 : 259.99 = 82.09 : x
  2. Step 2: Convert to fraction form
    173.39/259.99 = 82.09/x
  3. Step 3: Cross multiply
    173.39x = 259.99 × 82.09
  4. Step 4: Simplify right side
    173.39x = 21,341.62
  5. Step 5: Solve for x
    x = 21,341.62/173.39
  6. Step 6: Final answer
    x = 123.08

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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.