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Finding the Fourth Proportional to 137.50, 189.85 and 105.94

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Solution

The fourth proportional to 137.50, 189.85 and 105.94 is: 146.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.50 : 189.85 = 105.94 : x
  2. Step 2: Convert to fraction form
    137.50/189.85 = 105.94/x
  3. Step 3: Cross multiply
    137.50x = 189.85 × 105.94
  4. Step 4: Simplify right side
    137.50x = 20,112.71
  5. Step 5: Solve for x
    x = 20,112.71/137.50
  6. Step 6: Final answer
    x = 146.27

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