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Finding the Fourth Proportional to 172.25, 258.20 and 85.53

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Solution

The fourth proportional to 172.25, 258.20 and 85.53 is: 128.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.25 : 258.20 = 85.53 : x
  2. Step 2: Convert to fraction form
    172.25/258.20 = 85.53/x
  3. Step 3: Cross multiply
    172.25x = 258.20 × 85.53
  4. Step 4: Simplify right side
    172.25x = 22,083.63
  5. Step 5: Solve for x
    x = 22,083.63/172.25
  6. Step 6: Final answer
    x = 128.21

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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.