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Finding the Fourth Proportional to 172.77, 259.33 and 81.54

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Solution

The fourth proportional to 172.77, 259.33 and 81.54 is: 122.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.77 : 259.33 = 81.54 : x
  2. Step 2: Convert to fraction form
    172.77/259.33 = 81.54/x
  3. Step 3: Cross multiply
    172.77x = 259.33 × 81.54
  4. Step 4: Simplify right side
    172.77x = 21,145.77
  5. Step 5: Solve for x
    x = 21,145.77/172.77
  6. Step 6: Final answer
    x = 122.39

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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.