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Finding the Fourth Proportional to 144.86, 217.33 and 84.02

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Solution

The fourth proportional to 144.86, 217.33 and 84.02 is: 126.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.86 : 217.33 = 84.02 : x
  2. Step 2: Convert to fraction form
    144.86/217.33 = 84.02/x
  3. Step 3: Cross multiply
    144.86x = 217.33 × 84.02
  4. Step 4: Simplify right side
    144.86x = 18,258.77
  5. Step 5: Solve for x
    x = 18,258.77/144.86
  6. Step 6: Final answer
    x = 126.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.