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Finding the Fourth Proportional to 42.10, 57.79 and 41.33

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Solution

The fourth proportional to 42.10, 57.79 and 41.33 is: 56.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.10 : 57.79 = 41.33 : x
  2. Step 2: Convert to fraction form
    42.10/57.79 = 41.33/x
  3. Step 3: Cross multiply
    42.10x = 57.79 × 41.33
  4. Step 4: Simplify right side
    42.10x = 2,388.25
  5. Step 5: Solve for x
    x = 2,388.25/42.10
  6. Step 6: Final answer
    x = 56.73

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.