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Finding the Fourth Proportional to 144.06, 214.85 and 122.53

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Solution

The fourth proportional to 144.06, 214.85 and 122.53 is: 182.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.06 : 214.85 = 122.53 : x
  2. Step 2: Convert to fraction form
    144.06/214.85 = 122.53/x
  3. Step 3: Cross multiply
    144.06x = 214.85 × 122.53
  4. Step 4: Simplify right side
    144.06x = 26,325.57
  5. Step 5: Solve for x
    x = 26,325.57/144.06
  6. Step 6: Final answer
    x = 182.74

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