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Finding the Fourth Proportional to 130.74, 196.13 and 49.61

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Solution

The fourth proportional to 130.74, 196.13 and 49.61 is: 74.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.74 : 196.13 = 49.61 : x
  2. Step 2: Convert to fraction form
    130.74/196.13 = 49.61/x
  3. Step 3: Cross multiply
    130.74x = 196.13 × 49.61
  4. Step 4: Simplify right side
    130.74x = 9,729.52
  5. Step 5: Solve for x
    x = 9,729.52/130.74
  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.