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Finding the Fourth Proportional to 41.36, 57.00 and 31.59

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Solution

The fourth proportional to 41.36, 57.00 and 31.59 is: 43.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.36 : 57.00 = 31.59 : x
  2. Step 2: Convert to fraction form
    41.36/57.00 = 31.59/x
  3. Step 3: Cross multiply
    41.36x = 57.00 × 31.59
  4. Step 4: Simplify right side
    41.36x = 1,800.75
  5. Step 5: Solve for x
    x = 1,800.75/41.36
  6. Step 6: Final answer
    x = 43.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.