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Finding the Fourth Proportional to 42.09, 57.94 and 32.83

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Solution

The fourth proportional to 42.09, 57.94 and 32.83 is: 45.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.09 : 57.94 = 32.83 : x
  2. Step 2: Convert to fraction form
    42.09/57.94 = 32.83/x
  3. Step 3: Cross multiply
    42.09x = 57.94 × 32.83
  4. Step 4: Simplify right side
    42.09x = 1,902.17
  5. Step 5: Solve for x
    x = 1,902.17/42.09
  6. Step 6: Final answer
    x = 45.19

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