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Finding the Fourth Proportional to 126.40, 189.64 and 54.28

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Solution

The fourth proportional to 126.40, 189.64 and 54.28 is: 81.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.40 : 189.64 = 54.28 : x
  2. Step 2: Convert to fraction form
    126.40/189.64 = 54.28/x
  3. Step 3: Cross multiply
    126.40x = 189.64 × 54.28
  4. Step 4: Simplify right side
    126.40x = 10,293.66
  5. Step 5: Solve for x
    x = 10,293.66/126.40
  6. Step 6: Final answer
    x = 81.44

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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.