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Finding the Fourth Proportional to 123.84, 186.96 and 121.44

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Solution

The fourth proportional to 123.84, 186.96 and 121.44 is: 183.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.84 : 186.96 = 121.44 : x
  2. Step 2: Convert to fraction form
    123.84/186.96 = 121.44/x
  3. Step 3: Cross multiply
    123.84x = 186.96 × 121.44
  4. Step 4: Simplify right side
    123.84x = 22,704.42
  5. Step 5: Solve for x
    x = 22,704.42/123.84
  6. Step 6: Final answer
    x = 183.34

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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.