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Finding the Fourth Proportional to 172.52, 237.97 and 102.53

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Solution

The fourth proportional to 172.52, 237.97 and 102.53 is: 141.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.52 : 237.97 = 102.53 : x
  2. Step 2: Convert to fraction form
    172.52/237.97 = 102.53/x
  3. Step 3: Cross multiply
    172.52x = 237.97 × 102.53
  4. Step 4: Simplify right side
    172.52x = 24,398.55
  5. Step 5: Solve for x
    x = 24,398.55/172.52
  6. Step 6: Final answer
    x = 141.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.