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Finding the Fourth Proportional to 130.48, 195.84 and 82.42

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Solution

The fourth proportional to 130.48, 195.84 and 82.42 is: 123.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.48 : 195.84 = 82.42 : x
  2. Step 2: Convert to fraction form
    130.48/195.84 = 82.42/x
  3. Step 3: Cross multiply
    130.48x = 195.84 × 82.42
  4. Step 4: Simplify right side
    130.48x = 16,141.13
  5. Step 5: Solve for x
    x = 16,141.13/130.48
  6. Step 6: Final answer
    x = 123.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.