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Finding the Fourth Proportional to 130.78, 196.14 and 82

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Solution

The fourth proportional to 130.78, 196.14 and 82 is: 122.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.78 : 196.14 = 82 : x
  2. Step 2: Convert to fraction form
    130.78/196.14 = 82/x
  3. Step 3: Cross multiply
    130.78x = 196.14 × 82
  4. Step 4: Simplify right side
    130.78x = 16,083.48
  5. Step 5: Solve for x
    x = 16,083.48/130.78
  6. Step 6: Final answer
    x = 122.98

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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.