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Finding the Fourth Proportional to 172.56, 238.02 and 103.56

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Solution

The fourth proportional to 172.56, 238.02 and 103.56 is: 142.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.56 : 238.02 = 103.56 : x
  2. Step 2: Convert to fraction form
    172.56/238.02 = 103.56/x
  3. Step 3: Cross multiply
    172.56x = 238.02 × 103.56
  4. Step 4: Simplify right side
    172.56x = 24,649.35
  5. Step 5: Solve for x
    x = 24,649.35/172.56
  6. Step 6: Final answer
    x = 142.85

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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.