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Finding the Fourth Proportional to 130.30, 195.41 and 37.75

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Solution

The fourth proportional to 130.30, 195.41 and 37.75 is: 56.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.30 : 195.41 = 37.75 : x
  2. Step 2: Convert to fraction form
    130.30/195.41 = 37.75/x
  3. Step 3: Cross multiply
    130.30x = 195.41 × 37.75
  4. Step 4: Simplify right side
    130.30x = 7,375.84
  5. Step 5: Solve for x
    x = 7,375.84/130.30
  6. Step 6: Final answer
    x = 56.61

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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.