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Finding the Fourth Proportional to 172.64, 238.26 and 102.68

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Solution

The fourth proportional to 172.64, 238.26 and 102.68 is: 141.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.64 : 238.26 = 102.68 : x
  2. Step 2: Convert to fraction form
    172.64/238.26 = 102.68/x
  3. Step 3: Cross multiply
    172.64x = 238.26 × 102.68
  4. Step 4: Simplify right side
    172.64x = 24,464.02
  5. Step 5: Solve for x
    x = 24,464.02/172.64
  6. Step 6: Final answer
    x = 141.71

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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.