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Finding the Fourth Proportional to 172.46, 238.04 and 102.54

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Solution

The fourth proportional to 172.46, 238.04 and 102.54 is: 141.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.46 : 238.04 = 102.54 : x
  2. Step 2: Convert to fraction form
    172.46/238.04 = 102.54/x
  3. Step 3: Cross multiply
    172.46x = 238.04 × 102.54
  4. Step 4: Simplify right side
    172.46x = 24,408.62
  5. Step 5: Solve for x
    x = 24,408.62/172.46
  6. Step 6: Final answer
    x = 141.53

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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.