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Finding the Fourth Proportional to 172.98, 259.22 and 91.65

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Solution

The fourth proportional to 172.98, 259.22 and 91.65 is: 137.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.98 : 259.22 = 91.65 : x
  2. Step 2: Convert to fraction form
    172.98/259.22 = 91.65/x
  3. Step 3: Cross multiply
    172.98x = 259.22 × 91.65
  4. Step 4: Simplify right side
    172.98x = 23,757.05
  5. Step 5: Solve for x
    x = 23,757.05/172.98
  6. Step 6: Final answer
    x = 137.34

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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.