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Finding the Fourth Proportional to 129.84, 194.04 and 113.64

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Solution

The fourth proportional to 129.84, 194.04 and 113.64 is: 169.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.84 : 194.04 = 113.64 : x
  2. Step 2: Convert to fraction form
    129.84/194.04 = 113.64/x
  3. Step 3: Cross multiply
    129.84x = 194.04 × 113.64
  4. Step 4: Simplify right side
    129.84x = 22,050.71
  5. Step 5: Solve for x
    x = 22,050.71/129.84
  6. Step 6: Final answer
    x = 169.83

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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.