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Finding the Fourth Proportional to 129.69, 178.23 and 126.05

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Solution

The fourth proportional to 129.69, 178.23 and 126.05 is: 173.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.69 : 178.23 = 126.05 : x
  2. Step 2: Convert to fraction form
    129.69/178.23 = 126.05/x
  3. Step 3: Cross multiply
    129.69x = 178.23 × 126.05
  4. Step 4: Simplify right side
    129.69x = 22,465.00
  5. Step 5: Solve for x
    x = 22,465.00/129.69
  6. Step 6: Final answer
    x = 173.22

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.