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Finding the Fourth Proportional to 42.53, 58.99 and 38.48

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Solution

The fourth proportional to 42.53, 58.99 and 38.48 is: 53.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.53 : 58.99 = 38.48 : x
  2. Step 2: Convert to fraction form
    42.53/58.99 = 38.48/x
  3. Step 3: Cross multiply
    42.53x = 58.99 × 38.48
  4. Step 4: Simplify right side
    42.53x = 2,269.94
  5. Step 5: Solve for x
    x = 2,269.94/42.53
  6. Step 6: Final answer
    x = 53.37

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.