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Finding the Fourth Proportional to 129.30, 178.41 and 76.85

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Solution

The fourth proportional to 129.30, 178.41 and 76.85 is: 106.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.30 : 178.41 = 76.85 : x
  2. Step 2: Convert to fraction form
    129.30/178.41 = 76.85/x
  3. Step 3: Cross multiply
    129.30x = 178.41 × 76.85
  4. Step 4: Simplify right side
    129.30x = 13,710.20
  5. Step 5: Solve for x
    x = 13,710.20/129.30
  6. Step 6: Final answer
    x = 106.03

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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.