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Finding the Fourth Proportional to 78.10, 107.94 and 74.83

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Solution

The fourth proportional to 78.10, 107.94 and 74.83 is: 103.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.10 : 107.94 = 74.83 : x
  2. Step 2: Convert to fraction form
    78.10/107.94 = 74.83/x
  3. Step 3: Cross multiply
    78.10x = 107.94 × 74.83
  4. Step 4: Simplify right side
    78.10x = 8,077.15
  5. Step 5: Solve for x
    x = 8,077.15/78.10
  6. Step 6: Final answer
    x = 103.42

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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.