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Finding the Fourth Proportional to 129.60, 178.68 and 92.70

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Solution

The fourth proportional to 129.60, 178.68 and 92.70 is: 127.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.60 : 178.68 = 92.70 : x
  2. Step 2: Convert to fraction form
    129.60/178.68 = 92.70/x
  3. Step 3: Cross multiply
    129.60x = 178.68 × 92.70
  4. Step 4: Simplify right side
    129.60x = 16,563.64
  5. Step 5: Solve for x
    x = 16,563.64/129.60
  6. Step 6: Final answer
    x = 127.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.