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Finding the Fourth Proportional to 68.41, 102.37 and 42.64

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Solution

The fourth proportional to 68.41, 102.37 and 42.64 is: 63.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.41 : 102.37 = 42.64 : x
  2. Step 2: Convert to fraction form
    68.41/102.37 = 42.64/x
  3. Step 3: Cross multiply
    68.41x = 102.37 × 42.64
  4. Step 4: Simplify right side
    68.41x = 4,365.06
  5. Step 5: Solve for x
    x = 4,365.06/68.41
  6. Step 6: Final answer
    x = 63.81

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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.