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Finding the Fourth Proportional to 165.07, 227.87 and 102.99

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Solution

The fourth proportional to 165.07, 227.87 and 102.99 is: 142.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.07 : 227.87 = 102.99 : x
  2. Step 2: Convert to fraction form
    165.07/227.87 = 102.99/x
  3. Step 3: Cross multiply
    165.07x = 227.87 × 102.99
  4. Step 4: Simplify right side
    165.07x = 23,468.33
  5. Step 5: Solve for x
    x = 23,468.33/165.07
  6. Step 6: Final answer
    x = 142.17

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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.