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Finding the Fourth Proportional to 122.83, 183.08 and 116.00

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Solution

The fourth proportional to 122.83, 183.08 and 116.00 is: 172.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.83 : 183.08 = 116.00 : x
  2. Step 2: Convert to fraction form
    122.83/183.08 = 116.00/x
  3. Step 3: Cross multiply
    122.83x = 183.08 × 116.00
  4. Step 4: Simplify right side
    122.83x = 21,235.78
  5. Step 5: Solve for x
    x = 21,235.78/122.83
  6. Step 6: Final answer
    x = 172.89

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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.