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Finding the Fourth Proportional to 173.52, 259.74 and 109.26

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Solution

The fourth proportional to 173.52, 259.74 and 109.26 is: 163.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.52 : 259.74 = 109.26 : x
  2. Step 2: Convert to fraction form
    173.52/259.74 = 109.26/x
  3. Step 3: Cross multiply
    173.52x = 259.74 × 109.26
  4. Step 4: Simplify right side
    173.52x = 28,379.19
  5. Step 5: Solve for x
    x = 28,379.19/173.52
  6. Step 6: Final answer
    x = 163.55

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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.