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Finding the Fourth Proportional to 123, 183.50 and 112.64

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Solution

The fourth proportional to 123, 183.50 and 112.64 is: 168.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    123 : 183.50 = 112.64 : x
  2. Step 2: Convert to fraction form
    123/183.50 = 112.64/x
  3. Step 3: Cross multiply
    123x = 183.50 × 112.64
  4. Step 4: Simplify right side
    123x = 20,669.44
  5. Step 5: Solve for x
    x = 20,669.44/123
  6. Step 6: Final answer
    x = 168.04

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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.