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Finding the Fourth Proportional to 85.18, 117.41 and 78.12

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Solution

The fourth proportional to 85.18, 117.41 and 78.12 is: 107.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.18 : 117.41 = 78.12 : x
  2. Step 2: Convert to fraction form
    85.18/117.41 = 78.12/x
  3. Step 3: Cross multiply
    85.18x = 117.41 × 78.12
  4. Step 4: Simplify right side
    85.18x = 9,171.48
  5. Step 5: Solve for x
    x = 9,171.48/85.18
  6. Step 6: Final answer
    x = 107.67

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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.