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Finding the Fourth Proportional to 42.10, 57.83 and 34.82

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Solution

The fourth proportional to 42.10, 57.83 and 34.82 is: 47.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.10 : 57.83 = 34.82 : x
  2. Step 2: Convert to fraction form
    42.10/57.83 = 34.82/x
  3. Step 3: Cross multiply
    42.10x = 57.83 × 34.82
  4. Step 4: Simplify right side
    42.10x = 2,013.64
  5. Step 5: Solve for x
    x = 2,013.64/42.10
  6. Step 6: Final answer
    x = 47.83

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