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Finding the Fourth Proportional to 123.23, 183.72 and 120.02

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Solution

The fourth proportional to 123.23, 183.72 and 120.02 is: 178.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.23 : 183.72 = 120.02 : x
  2. Step 2: Convert to fraction form
    123.23/183.72 = 120.02/x
  3. Step 3: Cross multiply
    123.23x = 183.72 × 120.02
  4. Step 4: Simplify right side
    123.23x = 22,049.84
  5. Step 5: Solve for x
    x = 22,049.84/123.23
  6. Step 6: Final answer
    x = 178.94

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Why These Related Problems?

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