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Finding the Fourth Proportional to 123.16, 183.54 and 122.56

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Solution

The fourth proportional to 123.16, 183.54 and 122.56 is: 182.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.16 : 183.54 = 122.56 : x
  2. Step 2: Convert to fraction form
    123.16/183.54 = 122.56/x
  3. Step 3: Cross multiply
    123.16x = 183.54 × 122.56
  4. Step 4: Simplify right side
    123.16x = 22,494.66
  5. Step 5: Solve for x
    x = 22,494.66/123.16
  6. Step 6: Final answer
    x = 182.65

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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.