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Finding the Fourth Proportional to 129.53, 194.32 and 38.22

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Solution

The fourth proportional to 129.53, 194.32 and 38.22 is: 57.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.53 : 194.32 = 38.22 : x
  2. Step 2: Convert to fraction form
    129.53/194.32 = 38.22/x
  3. Step 3: Cross multiply
    129.53x = 194.32 × 38.22
  4. Step 4: Simplify right side
    129.53x = 7,426.91
  5. Step 5: Solve for x
    x = 7,426.91/129.53
  6. Step 6: Final answer
    x = 57.34

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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.