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Finding the Fourth Proportional to 123.21, 184.77 and 121.59

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Solution

The fourth proportional to 123.21, 184.77 and 121.59 is: 182.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.21 : 184.77 = 121.59 : x
  2. Step 2: Convert to fraction form
    123.21/184.77 = 121.59/x
  3. Step 3: Cross multiply
    123.21x = 184.77 × 121.59
  4. Step 4: Simplify right side
    123.21x = 22,466.18
  5. Step 5: Solve for x
    x = 22,466.18/123.21
  6. Step 6: Final answer
    x = 182.34

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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.