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Finding the Fourth Proportional to 129.14, 178.24 and 80.05

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Solution

The fourth proportional to 129.14, 178.24 and 80.05 is: 110.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.14 : 178.24 = 80.05 : x
  2. Step 2: Convert to fraction form
    129.14/178.24 = 80.05/x
  3. Step 3: Cross multiply
    129.14x = 178.24 × 80.05
  4. Step 4: Simplify right side
    129.14x = 14,268.11
  5. Step 5: Solve for x
    x = 14,268.11/129.14
  6. Step 6: Final answer
    x = 110.49

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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.