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Finding the Fourth Proportional to 173.40, 259.86 and 82.05

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Solution

The fourth proportional to 173.40, 259.86 and 82.05 is: 122.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.40 : 259.86 = 82.05 : x
  2. Step 2: Convert to fraction form
    173.40/259.86 = 82.05/x
  3. Step 3: Cross multiply
    173.40x = 259.86 × 82.05
  4. Step 4: Simplify right side
    173.40x = 21,321.51
  5. Step 5: Solve for x
    x = 21,321.51/173.40
  6. Step 6: Final answer
    x = 122.96

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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.