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Finding the Fourth Proportional to 144.65, 216.91 and 83.80

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Solution

The fourth proportional to 144.65, 216.91 and 83.80 is: 125.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.65 : 216.91 = 83.80 : x
  2. Step 2: Convert to fraction form
    144.65/216.91 = 83.80/x
  3. Step 3: Cross multiply
    144.65x = 216.91 × 83.80
  4. Step 4: Simplify right side
    144.65x = 18,177.43
  5. Step 5: Solve for x
    x = 18,177.43/144.65
  6. Step 6: Final answer
    x = 125.66

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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.