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Finding the Fourth Proportional to 126.65, 190.04 and 54.50

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Solution

The fourth proportional to 126.65, 190.04 and 54.50 is: 81.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.65 : 190.04 = 54.50 : x
  2. Step 2: Convert to fraction form
    126.65/190.04 = 54.50/x
  3. Step 3: Cross multiply
    126.65x = 190.04 × 54.50
  4. Step 4: Simplify right side
    126.65x = 10,355.96
  5. Step 5: Solve for x
    x = 10,355.96/126.65
  6. Step 6: Final answer
    x = 81.77

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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.