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Finding the Fourth Proportional to 42.05, 58 and 33.31

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Solution

The fourth proportional to 42.05, 58 and 33.31 is: 45.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.05 : 58 = 33.31 : x
  2. Step 2: Convert to fraction form
    42.05/58 = 33.31/x
  3. Step 3: Cross multiply
    42.05x = 58 × 33.31
  4. Step 4: Simplify right side
    42.05x = 1,931.98
  5. Step 5: Solve for x
    x = 1,931.98/42.05
  6. Step 6: Final answer
    x = 45.94

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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.