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Finding the Fourth Proportional to 172.97, 259.35 and 112.49

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Solution

The fourth proportional to 172.97, 259.35 and 112.49 is: 168.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.97 : 259.35 = 112.49 : x
  2. Step 2: Convert to fraction form
    172.97/259.35 = 112.49/x
  3. Step 3: Cross multiply
    172.97x = 259.35 × 112.49
  4. Step 4: Simplify right side
    172.97x = 29,172.98
  5. Step 5: Solve for x
    x = 29,172.98/172.97
  6. Step 6: Final answer
    x = 168.66

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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.