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Finding the Fourth Proportional to 129.66, 178.78 and 80.46

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Solution

The fourth proportional to 129.66, 178.78 and 80.46 is: 110.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.66 : 178.78 = 80.46 : x
  2. Step 2: Convert to fraction form
    129.66/178.78 = 80.46/x
  3. Step 3: Cross multiply
    129.66x = 178.78 × 80.46
  4. Step 4: Simplify right side
    129.66x = 14,383.55
  5. Step 5: Solve for x
    x = 14,383.55/129.66
  6. Step 6: Final answer
    x = 110.93

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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.