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Finding the Fourth Proportional to 42.03, 57.91 and 33.27

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Solution

The fourth proportional to 42.03, 57.91 and 33.27 is: 45.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.03 : 57.91 = 33.27 : x
  2. Step 2: Convert to fraction form
    42.03/57.91 = 33.27/x
  3. Step 3: Cross multiply
    42.03x = 57.91 × 33.27
  4. Step 4: Simplify right side
    42.03x = 1,926.67
  5. Step 5: Solve for x
    x = 1,926.67/42.03
  6. Step 6: Final answer
    x = 45.84

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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.