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Finding the Fourth Proportional to 165.97, 248.78 and 84.77

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Solution

The fourth proportional to 165.97, 248.78 and 84.77 is: 127.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.97 : 248.78 = 84.77 : x
  2. Step 2: Convert to fraction form
    165.97/248.78 = 84.77/x
  3. Step 3: Cross multiply
    165.97x = 248.78 × 84.77
  4. Step 4: Simplify right side
    165.97x = 21,088.05
  5. Step 5: Solve for x
    x = 21,088.05/165.97
  6. Step 6: Final answer
    x = 127.06

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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.