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Finding the Fourth Proportional to 126.78, 189.90 and 78.54

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Solution

The fourth proportional to 126.78, 189.90 and 78.54 is: 117.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.78 : 189.90 = 78.54 : x
  2. Step 2: Convert to fraction form
    126.78/189.90 = 78.54/x
  3. Step 3: Cross multiply
    126.78x = 189.90 × 78.54
  4. Step 4: Simplify right side
    126.78x = 14,914.75
  5. Step 5: Solve for x
    x = 14,914.75/126.78
  6. Step 6: Final answer
    x = 117.64

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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.