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Finding the Fourth Proportional to 129.66, 194.34 and 86.19

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Solution

The fourth proportional to 129.66, 194.34 and 86.19 is: 129.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.66 : 194.34 = 86.19 : x
  2. Step 2: Convert to fraction form
    129.66/194.34 = 86.19/x
  3. Step 3: Cross multiply
    129.66x = 194.34 × 86.19
  4. Step 4: Simplify right side
    129.66x = 16,750.16
  5. Step 5: Solve for x
    x = 16,750.16/129.66
  6. Step 6: Final answer
    x = 129.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.