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Finding the Fourth Proportional to 74.25, 111.31 and 48.60

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Solution

The fourth proportional to 74.25, 111.31 and 48.60 is: 72.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.25 : 111.31 = 48.60 : x
  2. Step 2: Convert to fraction form
    74.25/111.31 = 48.60/x
  3. Step 3: Cross multiply
    74.25x = 111.31 × 48.60
  4. Step 4: Simplify right side
    74.25x = 5,409.54
  5. Step 5: Solve for x
    x = 5,409.54/74.25
  6. Step 6: Final answer
    x = 72.86

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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.