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Finding the Fourth Proportional to 144.81, 217.53 and 103.21

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Solution

The fourth proportional to 144.81, 217.53 and 103.21 is: 155.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.81 : 217.53 = 103.21 : x
  2. Step 2: Convert to fraction form
    144.81/217.53 = 103.21/x
  3. Step 3: Cross multiply
    144.81x = 217.53 × 103.21
  4. Step 4: Simplify right side
    144.81x = 22,451.27
  5. Step 5: Solve for x
    x = 22,451.27/144.81
  6. Step 6: Final answer
    x = 155.04

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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.