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Finding the Fourth Proportional to 129.82, 179.07 and 106.54

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Solution

The fourth proportional to 129.82, 179.07 and 106.54 is: 146.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.82 : 179.07 = 106.54 : x
  2. Step 2: Convert to fraction form
    129.82/179.07 = 106.54/x
  3. Step 3: Cross multiply
    129.82x = 179.07 × 106.54
  4. Step 4: Simplify right side
    129.82x = 19,078.12
  5. Step 5: Solve for x
    x = 19,078.12/129.82
  6. Step 6: Final answer
    x = 146.96

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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.