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Finding the Fourth Proportional to 46.09, 63.94 and 42.68

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Solution

The fourth proportional to 46.09, 63.94 and 42.68 is: 59.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.09 : 63.94 = 42.68 : x
  2. Step 2: Convert to fraction form
    46.09/63.94 = 42.68/x
  3. Step 3: Cross multiply
    46.09x = 63.94 × 42.68
  4. Step 4: Simplify right side
    46.09x = 2,728.73
  5. Step 5: Solve for x
    x = 2,728.73/46.09
  6. Step 6: Final answer
    x = 59.20

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.