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Finding the Fourth Proportional to 41.36, 62.00 and 31.23

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Solution

The fourth proportional to 41.36, 62.00 and 31.23 is: 46.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.36 : 62.00 = 31.23 : x
  2. Step 2: Convert to fraction form
    41.36/62.00 = 31.23/x
  3. Step 3: Cross multiply
    41.36x = 62.00 × 31.23
  4. Step 4: Simplify right side
    41.36x = 1,936.49
  5. Step 5: Solve for x
    x = 1,936.49/41.36
  6. Step 6: Final answer
    x = 46.82

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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.