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Finding the Fourth Proportional to 123.33, 186.35 and 122.25

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Solution

The fourth proportional to 123.33, 186.35 and 122.25 is: 184.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.33 : 186.35 = 122.25 : x
  2. Step 2: Convert to fraction form
    123.33/186.35 = 122.25/x
  3. Step 3: Cross multiply
    123.33x = 186.35 × 122.25
  4. Step 4: Simplify right side
    123.33x = 22,780.68
  5. Step 5: Solve for x
    x = 22,780.68/123.33
  6. Step 6: Final answer
    x = 184.71

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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.