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Finding the Fourth Proportional to 130.39, 195.31 and 82.06

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Solution

The fourth proportional to 130.39, 195.31 and 82.06 is: 122.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.39 : 195.31 = 82.06 : x
  2. Step 2: Convert to fraction form
    130.39/195.31 = 82.06/x
  3. Step 3: Cross multiply
    130.39x = 195.31 × 82.06
  4. Step 4: Simplify right side
    130.39x = 16,026.75
  5. Step 5: Solve for x
    x = 16,026.75/130.39
  6. Step 6: Final answer
    x = 122.92

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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.