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Finding the Fourth Proportional to 45.70, 68.46 and 27.62

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Solution

The fourth proportional to 45.70, 68.46 and 27.62 is: 41.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.70 : 68.46 = 27.62 : x
  2. Step 2: Convert to fraction form
    45.70/68.46 = 27.62/x
  3. Step 3: Cross multiply
    45.70x = 68.46 × 27.62
  4. Step 4: Simplify right side
    45.70x = 1,890.87
  5. Step 5: Solve for x
    x = 1,890.87/45.70
  6. Step 6: Final answer
    x = 41.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.