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Finding the Fourth Proportional to 46.84, 69.83 and 44.14

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Solution

The fourth proportional to 46.84, 69.83 and 44.14 is: 65.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.84 : 69.83 = 44.14 : x
  2. Step 2: Convert to fraction form
    46.84/69.83 = 44.14/x
  3. Step 3: Cross multiply
    46.84x = 69.83 × 44.14
  4. Step 4: Simplify right side
    46.84x = 3,082.30
  5. Step 5: Solve for x
    x = 3,082.30/46.84
  6. Step 6: Final answer
    x = 65.80

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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.