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Finding the Fourth Proportional to 129.28, 193.90 and 37.96

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Solution

The fourth proportional to 129.28, 193.90 and 37.96 is: 56.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.28 : 193.90 = 37.96 : x
  2. Step 2: Convert to fraction form
    129.28/193.90 = 37.96/x
  3. Step 3: Cross multiply
    129.28x = 193.90 × 37.96
  4. Step 4: Simplify right side
    129.28x = 7,360.44
  5. Step 5: Solve for x
    x = 7,360.44/129.28
  6. Step 6: Final answer
    x = 56.93

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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.