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Finding the Fourth Proportional to 122.54, 183.82 and 116.06

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Solution

The fourth proportional to 122.54, 183.82 and 116.06 is: 174.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.54 : 183.82 = 116.06 : x
  2. Step 2: Convert to fraction form
    122.54/183.82 = 116.06/x
  3. Step 3: Cross multiply
    122.54x = 183.82 × 116.06
  4. Step 4: Simplify right side
    122.54x = 21,334.15
  5. Step 5: Solve for x
    x = 21,334.15/122.54
  6. Step 6: Final answer
    x = 174.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.