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Finding the Fourth Proportional to 129.09, 177.69 and 92.19

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Solution

The fourth proportional to 129.09, 177.69 and 92.19 is: 126.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.09 : 177.69 = 92.19 : x
  2. Step 2: Convert to fraction form
    129.09/177.69 = 92.19/x
  3. Step 3: Cross multiply
    129.09x = 177.69 × 92.19
  4. Step 4: Simplify right side
    129.09x = 16,381.24
  5. Step 5: Solve for x
    x = 16,381.24/129.09
  6. Step 6: Final answer
    x = 126.90

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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.