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Finding the Fourth Proportional to 130.82, 196.17 and 53.78

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Solution

The fourth proportional to 130.82, 196.17 and 53.78 is: 80.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.82 : 196.17 = 53.78 : x
  2. Step 2: Convert to fraction form
    130.82/196.17 = 53.78/x
  3. Step 3: Cross multiply
    130.82x = 196.17 × 53.78
  4. Step 4: Simplify right side
    130.82x = 10,550.02
  5. Step 5: Solve for x
    x = 10,550.02/130.82
  6. Step 6: Final answer
    x = 80.65

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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.