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Finding the Fourth Proportional to 129.97, 178.43 and 119.02

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Solution

The fourth proportional to 129.97, 178.43 and 119.02 is: 163.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.97 : 178.43 = 119.02 : x
  2. Step 2: Convert to fraction form
    129.97/178.43 = 119.02/x
  3. Step 3: Cross multiply
    129.97x = 178.43 × 119.02
  4. Step 4: Simplify right side
    129.97x = 21,236.74
  5. Step 5: Solve for x
    x = 21,236.74/129.97
  6. Step 6: Final answer
    x = 163.40

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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.