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Finding the Fourth Proportional to 122.17, 184.16 and 120.35

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Solution

The fourth proportional to 122.17, 184.16 and 120.35 is: 181.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.17 : 184.16 = 120.35 : x
  2. Step 2: Convert to fraction form
    122.17/184.16 = 120.35/x
  3. Step 3: Cross multiply
    122.17x = 184.16 × 120.35
  4. Step 4: Simplify right side
    122.17x = 22,162.13
  5. Step 5: Solve for x
    x = 22,162.13/122.17
  6. Step 6: Final answer
    x = 181.41

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.