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Finding the Fourth Proportional to 129.91, 194.74 and 52.84

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Solution

The fourth proportional to 129.91, 194.74 and 52.84 is: 79.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.91 : 194.74 = 52.84 : x
  2. Step 2: Convert to fraction form
    129.91/194.74 = 52.84/x
  3. Step 3: Cross multiply
    129.91x = 194.74 × 52.84
  4. Step 4: Simplify right side
    129.91x = 10,290.06
  5. Step 5: Solve for x
    x = 10,290.06/129.91
  6. Step 6: Final answer
    x = 79.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.