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Finding the Fourth Proportional to 129.54, 178.83 and 82.92

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Solution

The fourth proportional to 129.54, 178.83 and 82.92 is: 114.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.54 : 178.83 = 82.92 : x
  2. Step 2: Convert to fraction form
    129.54/178.83 = 82.92/x
  3. Step 3: Cross multiply
    129.54x = 178.83 × 82.92
  4. Step 4: Simplify right side
    129.54x = 14,828.58
  5. Step 5: Solve for x
    x = 14,828.58/129.54
  6. Step 6: Final answer
    x = 114.47

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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.