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Finding the Fourth Proportional to 48.27, 66.64 and 37.75

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Solution

The fourth proportional to 48.27, 66.64 and 37.75 is: 52.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.27 : 66.64 = 37.75 : x
  2. Step 2: Convert to fraction form
    48.27/66.64 = 37.75/x
  3. Step 3: Cross multiply
    48.27x = 66.64 × 37.75
  4. Step 4: Simplify right side
    48.27x = 2,515.33
  5. Step 5: Solve for x
    x = 2,515.33/48.27
  6. Step 6: Final answer
    x = 52.11

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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.