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Finding the Fourth Proportional to 68.37, 102.35 and 37.85

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Solution

The fourth proportional to 68.37, 102.35 and 37.85 is: 56.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.37 : 102.35 = 37.85 : x
  2. Step 2: Convert to fraction form
    68.37/102.35 = 37.85/x
  3. Step 3: Cross multiply
    68.37x = 102.35 × 37.85
  4. Step 4: Simplify right side
    68.37x = 3,873.44
  5. Step 5: Solve for x
    x = 3,873.44/68.37
  6. Step 6: Final answer
    x = 56.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.