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Finding the Fourth Proportional to 37.69, 56.44 and 37.60

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Solution

The fourth proportional to 37.69, 56.44 and 37.60 is: 56.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.69 : 56.44 = 37.60 : x
  2. Step 2: Convert to fraction form
    37.69/56.44 = 37.60/x
  3. Step 3: Cross multiply
    37.69x = 56.44 × 37.60
  4. Step 4: Simplify right side
    37.69x = 2,122.14
  5. Step 5: Solve for x
    x = 2,122.14/37.69
  6. Step 6: Final answer
    x = 56.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.