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Finding the Fourth Proportional to 173.26, 259.84 and 75.75

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Solution

The fourth proportional to 173.26, 259.84 and 75.75 is: 113.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.26 : 259.84 = 75.75 : x
  2. Step 2: Convert to fraction form
    173.26/259.84 = 75.75/x
  3. Step 3: Cross multiply
    173.26x = 259.84 × 75.75
  4. Step 4: Simplify right side
    173.26x = 19,682.88
  5. Step 5: Solve for x
    x = 19,682.88/173.26
  6. Step 6: Final answer
    x = 113.60

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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.