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Finding the Fourth Proportional to 187.99, 259.42 and 105.09

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Solution

The fourth proportional to 187.99, 259.42 and 105.09 is: 145.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.99 : 259.42 = 105.09 : x
  2. Step 2: Convert to fraction form
    187.99/259.42 = 105.09/x
  3. Step 3: Cross multiply
    187.99x = 259.42 × 105.09
  4. Step 4: Simplify right side
    187.99x = 27,262.19
  5. Step 5: Solve for x
    x = 27,262.19/187.99
  6. Step 6: Final answer
    x = 145.02

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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.