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Finding the Fourth Proportional to 144.80, 217.40 and 90.92

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Solution

The fourth proportional to 144.80, 217.40 and 90.92 is: 136.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.80 : 217.40 = 90.92 : x
  2. Step 2: Convert to fraction form
    144.80/217.40 = 90.92/x
  3. Step 3: Cross multiply
    144.80x = 217.40 × 90.92
  4. Step 4: Simplify right side
    144.80x = 19,766.01
  5. Step 5: Solve for x
    x = 19,766.01/144.80
  6. Step 6: Final answer
    x = 136.51

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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.