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Finding the Fourth Proportional to 137.89, 189.99 and 94.15

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Solution

The fourth proportional to 137.89, 189.99 and 94.15 is: 129.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.89 : 189.99 = 94.15 : x
  2. Step 2: Convert to fraction form
    137.89/189.99 = 94.15/x
  3. Step 3: Cross multiply
    137.89x = 189.99 × 94.15
  4. Step 4: Simplify right side
    137.89x = 17,887.56
  5. Step 5: Solve for x
    x = 17,887.56/137.89
  6. Step 6: Final answer
    x = 129.72

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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.