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Finding the Fourth Proportional to 127.04, 189.96 and 122

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Solution

The fourth proportional to 127.04, 189.96 and 122 is: 182.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.04 : 189.96 = 122 : x
  2. Step 2: Convert to fraction form
    127.04/189.96 = 122/x
  3. Step 3: Cross multiply
    127.04x = 189.96 × 122
  4. Step 4: Simplify right side
    127.04x = 23,175.12
  5. Step 5: Solve for x
    x = 23,175.12/127.04
  6. Step 6: Final answer
    x = 182.42

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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.