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Finding the Fourth Proportional to 129.69, 178.56 and 115.82

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Solution

The fourth proportional to 129.69, 178.56 and 115.82 is: 159.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.69 : 178.56 = 115.82 : x
  2. Step 2: Convert to fraction form
    129.69/178.56 = 115.82/x
  3. Step 3: Cross multiply
    129.69x = 178.56 × 115.82
  4. Step 4: Simplify right side
    129.69x = 20,680.82
  5. Step 5: Solve for x
    x = 20,680.82/129.69
  6. Step 6: Final answer
    x = 159.46

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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.