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Finding the Fourth Proportional to 175.97, 263.97 and 54.21

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Solution

The fourth proportional to 175.97, 263.97 and 54.21 is: 81.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.97 : 263.97 = 54.21 : x
  2. Step 2: Convert to fraction form
    175.97/263.97 = 54.21/x
  3. Step 3: Cross multiply
    175.97x = 263.97 × 54.21
  4. Step 4: Simplify right side
    175.97x = 14,309.81
  5. Step 5: Solve for x
    x = 14,309.81/175.97
  6. Step 6: Final answer
    x = 81.32

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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.