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Finding the Fourth Proportional to 144.90, 217.16 and 96.84

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Solution

The fourth proportional to 144.90, 217.16 and 96.84 is: 145.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.90 : 217.16 = 96.84 : x
  2. Step 2: Convert to fraction form
    144.90/217.16 = 96.84/x
  3. Step 3: Cross multiply
    144.90x = 217.16 × 96.84
  4. Step 4: Simplify right side
    144.90x = 21,029.77
  5. Step 5: Solve for x
    x = 21,029.77/144.90
  6. Step 6: Final answer
    x = 145.13

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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.