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Finding the Fourth Proportional to 130.46, 196.11 and 107.78

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Solution

The fourth proportional to 130.46, 196.11 and 107.78 is: 162.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.46 : 196.11 = 107.78 : x
  2. Step 2: Convert to fraction form
    130.46/196.11 = 107.78/x
  3. Step 3: Cross multiply
    130.46x = 196.11 × 107.78
  4. Step 4: Simplify right side
    130.46x = 21,136.74
  5. Step 5: Solve for x
    x = 21,136.74/130.46
  6. Step 6: Final answer
    x = 162.02

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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.