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Finding the Fourth Proportional to 129.10, 178.06 and 85.36

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Solution

The fourth proportional to 129.10, 178.06 and 85.36 is: 117.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.10 : 178.06 = 85.36 : x
  2. Step 2: Convert to fraction form
    129.10/178.06 = 85.36/x
  3. Step 3: Cross multiply
    129.10x = 178.06 × 85.36
  4. Step 4: Simplify right side
    129.10x = 15,198.54
  5. Step 5: Solve for x
    x = 15,198.54/129.10
  6. Step 6: Final answer
    x = 117.73

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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.