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Finding the Fourth Proportional to 172.90, 259.38 and 86.22

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Solution

The fourth proportional to 172.90, 259.38 and 86.22 is: 129.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.90 : 259.38 = 86.22 : x
  2. Step 2: Convert to fraction form
    172.90/259.38 = 86.22/x
  3. Step 3: Cross multiply
    172.90x = 259.38 × 86.22
  4. Step 4: Simplify right side
    172.90x = 22,363.00
  5. Step 5: Solve for x
    x = 22,363.00/172.90
  6. Step 6: Final answer
    x = 129.34

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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.