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Finding the Fourth Proportional to 42.46, 58.50 and 33.23

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Solution

The fourth proportional to 42.46, 58.50 and 33.23 is: 45.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.46 : 58.50 = 33.23 : x
  2. Step 2: Convert to fraction form
    42.46/58.50 = 33.23/x
  3. Step 3: Cross multiply
    42.46x = 58.50 × 33.23
  4. Step 4: Simplify right side
    42.46x = 1,943.96
  5. Step 5: Solve for x
    x = 1,943.96/42.46
  6. Step 6: Final answer
    x = 45.78

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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.