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Finding the Fourth Proportional to 46, 68.62 and 41.96

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Solution

The fourth proportional to 46, 68.62 and 41.96 is: 62.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    46 : 68.62 = 41.96 : x
  2. Step 2: Convert to fraction form
    46/68.62 = 41.96/x
  3. Step 3: Cross multiply
    46x = 68.62 × 41.96
  4. Step 4: Simplify right side
    46x = 2,879.30
  5. Step 5: Solve for x
    x = 2,879.30/46
  6. Step 6: Final answer
    x = 62.59

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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.