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Finding the Fourth Proportional to 137.67, 189.97 and 78.66

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Solution

The fourth proportional to 137.67, 189.97 and 78.66 is: 108.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.67 : 189.97 = 78.66 : x
  2. Step 2: Convert to fraction form
    137.67/189.97 = 78.66/x
  3. Step 3: Cross multiply
    137.67x = 189.97 × 78.66
  4. Step 4: Simplify right side
    137.67x = 14,943.04
  5. Step 5: Solve for x
    x = 14,943.04/137.67
  6. Step 6: Final answer
    x = 108.54

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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.