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Finding the Fourth Proportional to 123.20, 183.36 and 119.04

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Solution

The fourth proportional to 123.20, 183.36 and 119.04 is: 177.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.20 : 183.36 = 119.04 : x
  2. Step 2: Convert to fraction form
    123.20/183.36 = 119.04/x
  3. Step 3: Cross multiply
    123.20x = 183.36 × 119.04
  4. Step 4: Simplify right side
    123.20x = 21,827.17
  5. Step 5: Solve for x
    x = 21,827.17/123.20
  6. Step 6: Final answer
    x = 177.17

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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.