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Finding the Fourth Proportional to 127.45, 191.24 and 110.44

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Solution

The fourth proportional to 127.45, 191.24 and 110.44 is: 165.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.45 : 191.24 = 110.44 : x
  2. Step 2: Convert to fraction form
    127.45/191.24 = 110.44/x
  3. Step 3: Cross multiply
    127.45x = 191.24 × 110.44
  4. Step 4: Simplify right side
    127.45x = 21,120.55
  5. Step 5: Solve for x
    x = 21,120.55/127.45
  6. Step 6: Final answer
    x = 165.72

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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.