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Finding the Fourth Proportional to 126.06, 189.45 and 74.73

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Solution

The fourth proportional to 126.06, 189.45 and 74.73 is: 112.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.06 : 189.45 = 74.73 : x
  2. Step 2: Convert to fraction form
    126.06/189.45 = 74.73/x
  3. Step 3: Cross multiply
    126.06x = 189.45 × 74.73
  4. Step 4: Simplify right side
    126.06x = 14,157.60
  5. Step 5: Solve for x
    x = 14,157.60/126.06
  6. Step 6: Final answer
    x = 112.31

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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.