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Finding the Fourth Proportional to 129.49, 178.61 and 80.36

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Solution

The fourth proportional to 129.49, 178.61 and 80.36 is: 110.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.49 : 178.61 = 80.36 : x
  2. Step 2: Convert to fraction form
    129.49/178.61 = 80.36/x
  3. Step 3: Cross multiply
    129.49x = 178.61 × 80.36
  4. Step 4: Simplify right side
    129.49x = 14,352.47
  5. Step 5: Solve for x
    x = 14,352.47/129.49
  6. Step 6: Final answer
    x = 110.84

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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.