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Finding the Fourth Proportional to 144.78, 217.16 and 53.49

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Solution

The fourth proportional to 144.78, 217.16 and 53.49 is: 80.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.78 : 217.16 = 53.49 : x
  2. Step 2: Convert to fraction form
    144.78/217.16 = 53.49/x
  3. Step 3: Cross multiply
    144.78x = 217.16 × 53.49
  4. Step 4: Simplify right side
    144.78x = 11,615.89
  5. Step 5: Solve for x
    x = 11,615.89/144.78
  6. Step 6: Final answer
    x = 80.23

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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.