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Finding the Fourth Proportional to 122.58, 184.91 and 119.70

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Solution

The fourth proportional to 122.58, 184.91 and 119.70 is: 180.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.58 : 184.91 = 119.70 : x
  2. Step 2: Convert to fraction form
    122.58/184.91 = 119.70/x
  3. Step 3: Cross multiply
    122.58x = 184.91 × 119.70
  4. Step 4: Simplify right side
    122.58x = 22,133.13
  5. Step 5: Solve for x
    x = 22,133.13/122.58
  6. Step 6: Final answer
    x = 180.56

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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.