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Finding the Fourth Proportional to 49.09, 67.93 and 48.23

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Solution

The fourth proportional to 49.09, 67.93 and 48.23 is: 66.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.09 : 67.93 = 48.23 : x
  2. Step 2: Convert to fraction form
    49.09/67.93 = 48.23/x
  3. Step 3: Cross multiply
    49.09x = 67.93 × 48.23
  4. Step 4: Simplify right side
    49.09x = 3,276.26
  5. Step 5: Solve for x
    x = 3,276.26/49.09
  6. Step 6: Final answer
    x = 66.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.