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Finding the Fourth Proportional to 48.73, 73.62 and 48.23

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Solution

The fourth proportional to 48.73, 73.62 and 48.23 is: 72.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.73 : 73.62 = 48.23 : x
  2. Step 2: Convert to fraction form
    48.73/73.62 = 48.23/x
  3. Step 3: Cross multiply
    48.73x = 73.62 × 48.23
  4. Step 4: Simplify right side
    48.73x = 3,550.69
  5. Step 5: Solve for x
    x = 3,550.69/48.73
  6. Step 6: Final answer
    x = 72.86

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.