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Finding the Fourth Proportional to 126.57, 190.05 and 78.78

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Solution

The fourth proportional to 126.57, 190.05 and 78.78 is: 118.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.57 : 190.05 = 78.78 : x
  2. Step 2: Convert to fraction form
    126.57/190.05 = 78.78/x
  3. Step 3: Cross multiply
    126.57x = 190.05 × 78.78
  4. Step 4: Simplify right side
    126.57x = 14,972.14
  5. Step 5: Solve for x
    x = 14,972.14/126.57
  6. Step 6: Final answer
    x = 118.29

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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.