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Finding the Fourth Proportional to 129.10, 178.22 and 80.05

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Solution

The fourth proportional to 129.10, 178.22 and 80.05 is: 110.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.10 : 178.22 = 80.05 : x
  2. Step 2: Convert to fraction form
    129.10/178.22 = 80.05/x
  3. Step 3: Cross multiply
    129.10x = 178.22 × 80.05
  4. Step 4: Simplify right side
    129.10x = 14,266.51
  5. Step 5: Solve for x
    x = 14,266.51/129.10
  6. Step 6: Final answer
    x = 110.51

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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.