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Finding the Fourth Proportional to 126.70, 189.73 and 69.58

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Solution

The fourth proportional to 126.70, 189.73 and 69.58 is: 104.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.70 : 189.73 = 69.58 : x
  2. Step 2: Convert to fraction form
    126.70/189.73 = 69.58/x
  3. Step 3: Cross multiply
    126.70x = 189.73 × 69.58
  4. Step 4: Simplify right side
    126.70x = 13,201.41
  5. Step 5: Solve for x
    x = 13,201.41/126.70
  6. Step 6: Final answer
    x = 104.19

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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.