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Finding the Fourth Proportional to 130.83, 196.21 and 49.62

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Solution

The fourth proportional to 130.83, 196.21 and 49.62 is: 74.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.83 : 196.21 = 49.62 : x
  2. Step 2: Convert to fraction form
    130.83/196.21 = 49.62/x
  3. Step 3: Cross multiply
    130.83x = 196.21 × 49.62
  4. Step 4: Simplify right side
    130.83x = 9,736.46
  5. Step 5: Solve for x
    x = 9,736.46/130.83
  6. Step 6: Final answer
    x = 74.42

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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.