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Finding the Fourth Proportional to 130.78, 196.31 and 96.43

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Solution

The fourth proportional to 130.78, 196.31 and 96.43 is: 144.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.78 : 196.31 = 96.43 : x
  2. Step 2: Convert to fraction form
    130.78/196.31 = 96.43/x
  3. Step 3: Cross multiply
    130.78x = 196.31 × 96.43
  4. Step 4: Simplify right side
    130.78x = 18,929.69
  5. Step 5: Solve for x
    x = 18,929.69/130.78
  6. Step 6: Final answer
    x = 144.75

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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.