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Finding the Fourth Proportional to 126.40, 189.46 and 61.36

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Solution

The fourth proportional to 126.40, 189.46 and 61.36 is: 91.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.40 : 189.46 = 61.36 : x
  2. Step 2: Convert to fraction form
    126.40/189.46 = 61.36/x
  3. Step 3: Cross multiply
    126.40x = 189.46 × 61.36
  4. Step 4: Simplify right side
    126.40x = 11,624.01
  5. Step 5: Solve for x
    x = 11,624.01/126.40
  6. Step 6: Final answer
    x = 91.97

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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.