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Finding the Fourth Proportional to 133.31, 183.94 and 78.05

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Solution

The fourth proportional to 133.31, 183.94 and 78.05 is: 107.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.31 : 183.94 = 78.05 : x
  2. Step 2: Convert to fraction form
    133.31/183.94 = 78.05/x
  3. Step 3: Cross multiply
    133.31x = 183.94 × 78.05
  4. Step 4: Simplify right side
    133.31x = 14,355.75
  5. Step 5: Solve for x
    x = 14,355.75/133.31
  6. Step 6: Final answer
    x = 107.68

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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.