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Finding the Fourth Proportional to 127.20, 189.96 and 111

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Solution

The fourth proportional to 127.20, 189.96 and 111 is: 165.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.20 : 189.96 = 111 : x
  2. Step 2: Convert to fraction form
    127.20/189.96 = 111/x
  3. Step 3: Cross multiply
    127.20x = 189.96 × 111
  4. Step 4: Simplify right side
    127.20x = 21,085.56
  5. Step 5: Solve for x
    x = 21,085.56/127.20
  6. Step 6: Final answer
    x = 165.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.