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Finding the Fourth Proportional to 129.20, 178.45 and 113.70

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Solution

The fourth proportional to 129.20, 178.45 and 113.70 is: 157.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.20 : 178.45 = 113.70 : x
  2. Step 2: Convert to fraction form
    129.20/178.45 = 113.70/x
  3. Step 3: Cross multiply
    129.20x = 178.45 × 113.70
  4. Step 4: Simplify right side
    129.20x = 20,290.79
  5. Step 5: Solve for x
    x = 20,290.79/129.20
  6. Step 6: Final answer
    x = 157.06

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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.