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Finding the Fourth Proportional to 129.96, 194.04 and 105.84

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Solution

The fourth proportional to 129.96, 194.04 and 105.84 is: 158.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.96 : 194.04 = 105.84 : x
  2. Step 2: Convert to fraction form
    129.96/194.04 = 105.84/x
  3. Step 3: Cross multiply
    129.96x = 194.04 × 105.84
  4. Step 4: Simplify right side
    129.96x = 20,537.19
  5. Step 5: Solve for x
    x = 20,537.19/129.96
  6. Step 6: Final answer
    x = 158.03

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.