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Finding the Fourth Proportional to 137.78, 189.96 and 134.90

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Solution

The fourth proportional to 137.78, 189.96 and 134.90 is: 185.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.78 : 189.96 = 134.90 : x
  2. Step 2: Convert to fraction form
    137.78/189.96 = 134.90/x
  3. Step 3: Cross multiply
    137.78x = 189.96 × 134.90
  4. Step 4: Simplify right side
    137.78x = 25,625.60
  5. Step 5: Solve for x
    x = 25,625.60/137.78
  6. Step 6: Final answer
    x = 185.99

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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.