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Finding the Fourth Proportional to 123.15, 183.83 and 108.57

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Solution

The fourth proportional to 123.15, 183.83 and 108.57 is: 162.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.15 : 183.83 = 108.57 : x
  2. Step 2: Convert to fraction form
    123.15/183.83 = 108.57/x
  3. Step 3: Cross multiply
    123.15x = 183.83 × 108.57
  4. Step 4: Simplify right side
    123.15x = 19,957.88
  5. Step 5: Solve for x
    x = 19,957.88/123.15
  6. Step 6: Final answer
    x = 162.06

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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.