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Finding the Fourth Proportional to 126.40, 189.63 and 54.34

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Solution

The fourth proportional to 126.40, 189.63 and 54.34 is: 81.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.40 : 189.63 = 54.34 : x
  2. Step 2: Convert to fraction form
    126.40/189.63 = 54.34/x
  3. Step 3: Cross multiply
    126.40x = 189.63 × 54.34
  4. Step 4: Simplify right side
    126.40x = 10,304.49
  5. Step 5: Solve for x
    x = 10,304.49/126.40
  6. Step 6: Final answer
    x = 81.52

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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.