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Finding the Fourth Proportional to 42.04, 62.69 and 38.44

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Solution

The fourth proportional to 42.04, 62.69 and 38.44 is: 57.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.04 : 62.69 = 38.44 : x
  2. Step 2: Convert to fraction form
    42.04/62.69 = 38.44/x
  3. Step 3: Cross multiply
    42.04x = 62.69 × 38.44
  4. Step 4: Simplify right side
    42.04x = 2,409.80
  5. Step 5: Solve for x
    x = 2,409.80/42.04
  6. Step 6: Final answer
    x = 57.32

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.