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Finding the Fourth Proportional to 144.80, 217.23 and 106.53

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Solution

The fourth proportional to 144.80, 217.23 and 106.53 is: 159.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.80 : 217.23 = 106.53 : x
  2. Step 2: Convert to fraction form
    144.80/217.23 = 106.53/x
  3. Step 3: Cross multiply
    144.80x = 217.23 × 106.53
  4. Step 4: Simplify right side
    144.80x = 23,142.12
  5. Step 5: Solve for x
    x = 23,142.12/144.80
  6. Step 6: Final answer
    x = 159.82

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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.