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Finding the Fourth Proportional to 130.76, 196.14 and 44.09

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Solution

The fourth proportional to 130.76, 196.14 and 44.09 is: 66.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.76 : 196.14 = 44.09 : x
  2. Step 2: Convert to fraction form
    130.76/196.14 = 44.09/x
  3. Step 3: Cross multiply
    130.76x = 196.14 × 44.09
  4. Step 4: Simplify right side
    130.76x = 8,647.73
  5. Step 5: Solve for x
    x = 8,647.73/130.76
  6. Step 6: Final answer
    x = 66.14

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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.