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Finding the Fourth Proportional to 46.82, 69.83 and 42.23

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Solution

The fourth proportional to 46.82, 69.83 and 42.23 is: 62.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.82 : 69.83 = 42.23 : x
  2. Step 2: Convert to fraction form
    46.82/69.83 = 42.23/x
  3. Step 3: Cross multiply
    46.82x = 69.83 × 42.23
  4. Step 4: Simplify right side
    46.82x = 2,948.92
  5. Step 5: Solve for x
    x = 2,948.92/46.82
  6. Step 6: Final answer
    x = 62.98

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.