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Finding the Fourth Proportional to 42.29, 58.37 and 33.05

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Solution

The fourth proportional to 42.29, 58.37 and 33.05 is: 45.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.29 : 58.37 = 33.05 : x
  2. Step 2: Convert to fraction form
    42.29/58.37 = 33.05/x
  3. Step 3: Cross multiply
    42.29x = 58.37 × 33.05
  4. Step 4: Simplify right side
    42.29x = 1,929.13
  5. Step 5: Solve for x
    x = 1,929.13/42.29
  6. Step 6: Final answer
    x = 45.62

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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.