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Finding the Fourth Proportional to 48.76, 73.12 and 20.26

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Solution

The fourth proportional to 48.76, 73.12 and 20.26 is: 30.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.76 : 73.12 = 20.26 : x
  2. Step 2: Convert to fraction form
    48.76/73.12 = 20.26/x
  3. Step 3: Cross multiply
    48.76x = 73.12 × 20.26
  4. Step 4: Simplify right side
    48.76x = 1,481.41
  5. Step 5: Solve for x
    x = 1,481.41/48.76
  6. Step 6: Final answer
    x = 30.38

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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.