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Finding the Fourth Proportional to 130.82, 196.22 and 49.71

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Solution

The fourth proportional to 130.82, 196.22 and 49.71 is: 74.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.82 : 196.22 = 49.71 : x
  2. Step 2: Convert to fraction form
    130.82/196.22 = 49.71/x
  3. Step 3: Cross multiply
    130.82x = 196.22 × 49.71
  4. Step 4: Simplify right side
    130.82x = 9,754.96
  5. Step 5: Solve for x
    x = 9,754.96/130.82
  6. Step 6: Final answer
    x = 74.57

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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.