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Finding the Fourth Proportional to 126.66, 189.92 and 49.61

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Solution

The fourth proportional to 126.66, 189.92 and 49.61 is: 74.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.66 : 189.92 = 49.61 : x
  2. Step 2: Convert to fraction form
    126.66/189.92 = 49.61/x
  3. Step 3: Cross multiply
    126.66x = 189.92 × 49.61
  4. Step 4: Simplify right side
    126.66x = 9,422.53
  5. Step 5: Solve for x
    x = 9,422.53/126.66
  6. Step 6: Final answer
    x = 74.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.