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Finding the Fourth Proportional to 71.53, 107.09 and 48.54

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Solution

The fourth proportional to 71.53, 107.09 and 48.54 is: 72.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.53 : 107.09 = 48.54 : x
  2. Step 2: Convert to fraction form
    71.53/107.09 = 48.54/x
  3. Step 3: Cross multiply
    71.53x = 107.09 × 48.54
  4. Step 4: Simplify right side
    71.53x = 5,198.49
  5. Step 5: Solve for x
    x = 5,198.49/71.53
  6. Step 6: Final answer
    x = 72.68

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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.