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Finding the Fourth Proportional to 122.34, 184.61 and 118.05

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Solution

The fourth proportional to 122.34, 184.61 and 118.05 is: 178.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.34 : 184.61 = 118.05 : x
  2. Step 2: Convert to fraction form
    122.34/184.61 = 118.05/x
  3. Step 3: Cross multiply
    122.34x = 184.61 × 118.05
  4. Step 4: Simplify right side
    122.34x = 21,793.21
  5. Step 5: Solve for x
    x = 21,793.21/122.34
  6. Step 6: Final answer
    x = 178.14

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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.