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Finding the Fourth Proportional to 172.90, 259.27 and 81.63

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Solution

The fourth proportional to 172.90, 259.27 and 81.63 is: 122.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.90 : 259.27 = 81.63 : x
  2. Step 2: Convert to fraction form
    172.90/259.27 = 81.63/x
  3. Step 3: Cross multiply
    172.90x = 259.27 × 81.63
  4. Step 4: Simplify right side
    172.90x = 21,164.21
  5. Step 5: Solve for x
    x = 21,164.21/172.90
  6. Step 6: Final answer
    x = 122.41

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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.