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Finding the Fourth Proportional to 165.99, 229.09 and 92.32

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Solution

The fourth proportional to 165.99, 229.09 and 92.32 is: 127.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.99 : 229.09 = 92.32 : x
  2. Step 2: Convert to fraction form
    165.99/229.09 = 92.32/x
  3. Step 3: Cross multiply
    165.99x = 229.09 × 92.32
  4. Step 4: Simplify right side
    165.99x = 21,148.79
  5. Step 5: Solve for x
    x = 21,148.79/165.99
  6. Step 6: Final answer
    x = 127.41

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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.