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Finding the Fourth Proportional to 172.64, 259.01 and 80.13

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Solution

The fourth proportional to 172.64, 259.01 and 80.13 is: 120.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.64 : 259.01 = 80.13 : x
  2. Step 2: Convert to fraction form
    172.64/259.01 = 80.13/x
  3. Step 3: Cross multiply
    172.64x = 259.01 × 80.13
  4. Step 4: Simplify right side
    172.64x = 20,755.06
  5. Step 5: Solve for x
    x = 20,755.06/172.64
  6. Step 6: Final answer
    x = 120.22

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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.