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Finding the Fourth Proportional to 122.50, 183.59 and 82.18

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Solution

The fourth proportional to 122.50, 183.59 and 82.18 is: 123.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.50 : 183.59 = 82.18 : x
  2. Step 2: Convert to fraction form
    122.50/183.59 = 82.18/x
  3. Step 3: Cross multiply
    122.50x = 183.59 × 82.18
  4. Step 4: Simplify right side
    122.50x = 15,087.43
  5. Step 5: Solve for x
    x = 15,087.43/122.50
  6. Step 6: Final answer
    x = 123.16

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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.