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Finding the Fourth Proportional to 172.72, 259.34 and 108.13

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Solution

The fourth proportional to 172.72, 259.34 and 108.13 is: 162.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.72 : 259.34 = 108.13 : x
  2. Step 2: Convert to fraction form
    172.72/259.34 = 108.13/x
  3. Step 3: Cross multiply
    172.72x = 259.34 × 108.13
  4. Step 4: Simplify right side
    172.72x = 28,042.01
  5. Step 5: Solve for x
    x = 28,042.01/172.72
  6. Step 6: Final answer
    x = 162.36

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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.