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Finding the Fourth Proportional to 129.11, 178.11 and 109.35

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Solution

The fourth proportional to 129.11, 178.11 and 109.35 is: 150.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.11 : 178.11 = 109.35 : x
  2. Step 2: Convert to fraction form
    129.11/178.11 = 109.35/x
  3. Step 3: Cross multiply
    129.11x = 178.11 × 109.35
  4. Step 4: Simplify right side
    129.11x = 19,476.33
  5. Step 5: Solve for x
    x = 19,476.33/129.11
  6. Step 6: Final answer
    x = 150.86

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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.