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Finding the Fourth Proportional to 123.06, 183.30 and 116.82

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Solution

The fourth proportional to 123.06, 183.30 and 116.82 is: 174.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.06 : 183.30 = 116.82 : x
  2. Step 2: Convert to fraction form
    123.06/183.30 = 116.82/x
  3. Step 3: Cross multiply
    123.06x = 183.30 × 116.82
  4. Step 4: Simplify right side
    123.06x = 21,413.11
  5. Step 5: Solve for x
    x = 21,413.11/123.06
  6. Step 6: Final answer
    x = 174.01

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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.