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Finding the Fourth Proportional to 129.23, 178.34 and 82.56

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Solution

The fourth proportional to 129.23, 178.34 and 82.56 is: 113.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.23 : 178.34 = 82.56 : x
  2. Step 2: Convert to fraction form
    129.23/178.34 = 82.56/x
  3. Step 3: Cross multiply
    129.23x = 178.34 × 82.56
  4. Step 4: Simplify right side
    129.23x = 14,724.20
  5. Step 5: Solve for x
    x = 14,724.20/129.23
  6. Step 6: Final answer
    x = 113.94

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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.