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Finding the Fourth Proportional to 129.38, 178.43 and 80.24

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Solution

The fourth proportional to 129.38, 178.43 and 80.24 is: 110.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.38 : 178.43 = 80.24 : x
  2. Step 2: Convert to fraction form
    129.38/178.43 = 80.24/x
  3. Step 3: Cross multiply
    129.38x = 178.43 × 80.24
  4. Step 4: Simplify right side
    129.38x = 14,317.22
  5. Step 5: Solve for x
    x = 14,317.22/129.38
  6. Step 6: Final answer
    x = 110.66

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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.