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Finding the Fourth Proportional to 46.84, 69.91 and 46.44

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Solution

The fourth proportional to 46.84, 69.91 and 46.44 is: 69.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.84 : 69.91 = 46.44 : x
  2. Step 2: Convert to fraction form
    46.84/69.91 = 46.44/x
  3. Step 3: Cross multiply
    46.84x = 69.91 × 46.44
  4. Step 4: Simplify right side
    46.84x = 3,246.62
  5. Step 5: Solve for x
    x = 3,246.62/46.84
  6. Step 6: Final answer
    x = 69.31

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Why These Related Problems?

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