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Finding the Fourth Proportional to 173.19, 259.82 and 75.69

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Solution

The fourth proportional to 173.19, 259.82 and 75.69 is: 113.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.19 : 259.82 = 75.69 : x
  2. Step 2: Convert to fraction form
    173.19/259.82 = 75.69/x
  3. Step 3: Cross multiply
    173.19x = 259.82 × 75.69
  4. Step 4: Simplify right side
    173.19x = 19,665.40
  5. Step 5: Solve for x
    x = 19,665.40/173.19
  6. Step 6: Final answer
    x = 113.55

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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.