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Finding the Fourth Proportional to 144.99, 199.80 and 108.14

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Solution

The fourth proportional to 144.99, 199.80 and 108.14 is: 149.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.99 : 199.80 = 108.14 : x
  2. Step 2: Convert to fraction form
    144.99/199.80 = 108.14/x
  3. Step 3: Cross multiply
    144.99x = 199.80 × 108.14
  4. Step 4: Simplify right side
    144.99x = 21,605.37
  5. Step 5: Solve for x
    x = 21,605.37/144.99
  6. Step 6: Final answer
    x = 149.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.