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Finding the Fourth Proportional to 122.11, 181.68 and 115.63

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Solution

The fourth proportional to 122.11, 181.68 and 115.63 is: 172.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.11 : 181.68 = 115.63 : x
  2. Step 2: Convert to fraction form
    122.11/181.68 = 115.63/x
  3. Step 3: Cross multiply
    122.11x = 181.68 × 115.63
  4. Step 4: Simplify right side
    122.11x = 21,006.77
  5. Step 5: Solve for x
    x = 21,006.77/122.11
  6. Step 6: Final answer
    x = 172.04

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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.