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Finding the Fourth Proportional to 48.75, 73.07 and 27.09

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Solution

The fourth proportional to 48.75, 73.07 and 27.09 is: 40.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.75 : 73.07 = 27.09 : x
  2. Step 2: Convert to fraction form
    48.75/73.07 = 27.09/x
  3. Step 3: Cross multiply
    48.75x = 73.07 × 27.09
  4. Step 4: Simplify right side
    48.75x = 1,979.10
  5. Step 5: Solve for x
    x = 1,979.10/48.75
  6. Step 6: Final answer
    x = 40.59

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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.