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Finding the Fourth Proportional to 144.69, 217.18 and 98.62

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Solution

The fourth proportional to 144.69, 217.18 and 98.62 is: 148.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.69 : 217.18 = 98.62 : x
  2. Step 2: Convert to fraction form
    144.69/217.18 = 98.62/x
  3. Step 3: Cross multiply
    144.69x = 217.18 × 98.62
  4. Step 4: Simplify right side
    144.69x = 21,417.87
  5. Step 5: Solve for x
    x = 21,417.87/144.69
  6. Step 6: Final answer
    x = 148.03

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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.