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Finding the Fourth Proportional to 48.71, 67.26 and 37.77

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Solution

The fourth proportional to 48.71, 67.26 and 37.77 is: 52.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.71 : 67.26 = 37.77 : x
  2. Step 2: Convert to fraction form
    48.71/67.26 = 37.77/x
  3. Step 3: Cross multiply
    48.71x = 67.26 × 37.77
  4. Step 4: Simplify right side
    48.71x = 2,540.41
  5. Step 5: Solve for x
    x = 2,540.41/48.71
  6. Step 6: Final answer
    x = 52.16

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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.