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Finding the Fourth Proportional to 137.70, 189.87 and 104.94

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Solution

The fourth proportional to 137.70, 189.87 and 104.94 is: 144.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.70 : 189.87 = 104.94 : x
  2. Step 2: Convert to fraction form
    137.70/189.87 = 104.94/x
  3. Step 3: Cross multiply
    137.70x = 189.87 × 104.94
  4. Step 4: Simplify right side
    137.70x = 19,924.96
  5. Step 5: Solve for x
    x = 19,924.96/137.70
  6. Step 6: Final answer
    x = 144.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.