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Finding the Fourth Proportional to 172.59, 258.71 and 81.21

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Solution

The fourth proportional to 172.59, 258.71 and 81.21 is: 121.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.59 : 258.71 = 81.21 : x
  2. Step 2: Convert to fraction form
    172.59/258.71 = 81.21/x
  3. Step 3: Cross multiply
    172.59x = 258.71 × 81.21
  4. Step 4: Simplify right side
    172.59x = 21,010.71
  5. Step 5: Solve for x
    x = 21,010.71/172.59
  6. Step 6: Final answer
    x = 121.74

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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.