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Finding the Fourth Proportional to 122.97, 185.85 and 120.84

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Solution

The fourth proportional to 122.97, 185.85 and 120.84 is: 182.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.97 : 185.85 = 120.84 : x
  2. Step 2: Convert to fraction form
    122.97/185.85 = 120.84/x
  3. Step 3: Cross multiply
    122.97x = 185.85 × 120.84
  4. Step 4: Simplify right side
    122.97x = 22,457.51
  5. Step 5: Solve for x
    x = 22,457.51/122.97
  6. Step 6: Final answer
    x = 182.63

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Why These Related Problems?

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