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Finding the Fourth Proportional to 124.06, 184.46 and 122.84

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Solution

The fourth proportional to 124.06, 184.46 and 122.84 is: 182.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.06 : 184.46 = 122.84 : x
  2. Step 2: Convert to fraction form
    124.06/184.46 = 122.84/x
  3. Step 3: Cross multiply
    124.06x = 184.46 × 122.84
  4. Step 4: Simplify right side
    124.06x = 22,659.07
  5. Step 5: Solve for x
    x = 22,659.07/124.06
  6. Step 6: Final answer
    x = 182.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.