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Finding the Fourth Proportional to 46.82, 69.90 and 45.90

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Solution

The fourth proportional to 46.82, 69.90 and 45.90 is: 68.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.82 : 69.90 = 45.90 : x
  2. Step 2: Convert to fraction form
    46.82/69.90 = 45.90/x
  3. Step 3: Cross multiply
    46.82x = 69.90 × 45.90
  4. Step 4: Simplify right side
    46.82x = 3,208.41
  5. Step 5: Solve for x
    x = 3,208.41/46.82
  6. Step 6: Final answer
    x = 68.53

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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.