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Finding the Fourth Proportional to 126.54, 189.70 and 54.34

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Solution

The fourth proportional to 126.54, 189.70 and 54.34 is: 81.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.54 : 189.70 = 54.34 : x
  2. Step 2: Convert to fraction form
    126.54/189.70 = 54.34/x
  3. Step 3: Cross multiply
    126.54x = 189.70 × 54.34
  4. Step 4: Simplify right side
    126.54x = 10,308.30
  5. Step 5: Solve for x
    x = 10,308.30/126.54
  6. Step 6: Final answer
    x = 81.46

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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.