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Finding the Fourth Proportional to 123.17, 183.42 and 116.19

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Solution

The fourth proportional to 123.17, 183.42 and 116.19 is: 173.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.17 : 183.42 = 116.19 : x
  2. Step 2: Convert to fraction form
    123.17/183.42 = 116.19/x
  3. Step 3: Cross multiply
    123.17x = 183.42 × 116.19
  4. Step 4: Simplify right side
    123.17x = 21,311.57
  5. Step 5: Solve for x
    x = 21,311.57/123.17
  6. Step 6: Final answer
    x = 173.03

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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.