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Finding the Fourth Proportional to 122.12, 184.26 and 118.08

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Solution

The fourth proportional to 122.12, 184.26 and 118.08 is: 178.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.12 : 184.26 = 118.08 : x
  2. Step 2: Convert to fraction form
    122.12/184.26 = 118.08/x
  3. Step 3: Cross multiply
    122.12x = 184.26 × 118.08
  4. Step 4: Simplify right side
    122.12x = 21,757.42
  5. Step 5: Solve for x
    x = 21,757.42/122.12
  6. Step 6: Final answer
    x = 178.16

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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.