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Finding the Fourth Proportional to 123.06, 182.97 and 121.84

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Solution

The fourth proportional to 123.06, 182.97 and 121.84 is: 181.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.06 : 182.97 = 121.84 : x
  2. Step 2: Convert to fraction form
    123.06/182.97 = 121.84/x
  3. Step 3: Cross multiply
    123.06x = 182.97 × 121.84
  4. Step 4: Simplify right side
    123.06x = 22,293.06
  5. Step 5: Solve for x
    x = 22,293.06/123.06
  6. Step 6: Final answer
    x = 181.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.