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Finding the Fourth Proportional to 126.78, 189.12 and 114.62

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Solution

The fourth proportional to 126.78, 189.12 and 114.62 is: 170.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.78 : 189.12 = 114.62 : x
  2. Step 2: Convert to fraction form
    126.78/189.12 = 114.62/x
  3. Step 3: Cross multiply
    126.78x = 189.12 × 114.62
  4. Step 4: Simplify right side
    126.78x = 21,676.36
  5. Step 5: Solve for x
    x = 21,676.36/126.78
  6. Step 6: Final answer
    x = 170.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.