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Finding the Fourth Proportional to 129.74, 178.07 and 116.37

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Solution

The fourth proportional to 129.74, 178.07 and 116.37 is: 159.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.74 : 178.07 = 116.37 : x
  2. Step 2: Convert to fraction form
    129.74/178.07 = 116.37/x
  3. Step 3: Cross multiply
    129.74x = 178.07 × 116.37
  4. Step 4: Simplify right side
    129.74x = 20,721.42
  5. Step 5: Solve for x
    x = 20,721.42/129.74
  6. Step 6: Final answer
    x = 159.72

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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.