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Finding the Fourth Proportional to 130.80, 195.27 and 130.44

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Solution

The fourth proportional to 130.80, 195.27 and 130.44 is: 194.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.80 : 195.27 = 130.44 : x
  2. Step 2: Convert to fraction form
    130.80/195.27 = 130.44/x
  3. Step 3: Cross multiply
    130.80x = 195.27 × 130.44
  4. Step 4: Simplify right side
    130.80x = 25,471.02
  5. Step 5: Solve for x
    x = 25,471.02/130.80
  6. Step 6: Final answer
    x = 194.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.