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Finding the Fourth Proportional to 130.98, 196.47 and 49.82

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Solution

The fourth proportional to 130.98, 196.47 and 49.82 is: 74.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.98 : 196.47 = 49.82 : x
  2. Step 2: Convert to fraction form
    130.98/196.47 = 49.82/x
  3. Step 3: Cross multiply
    130.98x = 196.47 × 49.82
  4. Step 4: Simplify right side
    130.98x = 9,788.14
  5. Step 5: Solve for x
    x = 9,788.14/130.98
  6. Step 6: Final answer
    x = 74.73

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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.