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Finding the Fourth Proportional to 122.00, 181.61 and 116.10

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Solution

The fourth proportional to 122.00, 181.61 and 116.10 is: 172.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.00 : 181.61 = 116.10 : x
  2. Step 2: Convert to fraction form
    122.00/181.61 = 116.10/x
  3. Step 3: Cross multiply
    122.00x = 181.61 × 116.10
  4. Step 4: Simplify right side
    122.00x = 21,084.78
  5. Step 5: Solve for x
    x = 21,084.78/122.00
  6. Step 6: Final answer
    x = 172.83

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.