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Finding the Fourth Proportional to 42.04, 57.74 and 35.90

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Solution

The fourth proportional to 42.04, 57.74 and 35.90 is: 49.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.04 : 57.74 = 35.90 : x
  2. Step 2: Convert to fraction form
    42.04/57.74 = 35.90/x
  3. Step 3: Cross multiply
    42.04x = 57.74 × 35.90
  4. Step 4: Simplify right side
    42.04x = 2,072.87
  5. Step 5: Solve for x
    x = 2,072.87/42.04
  6. Step 6: Final answer
    x = 49.31

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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.