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Finding the Fourth Proportional to 129.42, 178.63 and 82.78

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Solution

The fourth proportional to 129.42, 178.63 and 82.78 is: 114.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.42 : 178.63 = 82.78 : x
  2. Step 2: Convert to fraction form
    129.42/178.63 = 82.78/x
  3. Step 3: Cross multiply
    129.42x = 178.63 × 82.78
  4. Step 4: Simplify right side
    129.42x = 14,786.99
  5. Step 5: Solve for x
    x = 14,786.99/129.42
  6. Step 6: Final answer
    x = 114.26

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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.