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Finding the Fourth Proportional to 165.74, 249.05 and 84.63

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Solution

The fourth proportional to 165.74, 249.05 and 84.63 is: 127.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.74 : 249.05 = 84.63 : x
  2. Step 2: Convert to fraction form
    165.74/249.05 = 84.63/x
  3. Step 3: Cross multiply
    165.74x = 249.05 × 84.63
  4. Step 4: Simplify right side
    165.74x = 21,076.68
  5. Step 5: Solve for x
    x = 21,076.68/165.74
  6. Step 6: Final answer
    x = 127.17

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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.