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Finding the Fourth Proportional to 127.12, 189.81 and 104.33

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Solution

The fourth proportional to 127.12, 189.81 and 104.33 is: 155.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.12 : 189.81 = 104.33 : x
  2. Step 2: Convert to fraction form
    127.12/189.81 = 104.33/x
  3. Step 3: Cross multiply
    127.12x = 189.81 × 104.33
  4. Step 4: Simplify right side
    127.12x = 19,802.36
  5. Step 5: Solve for x
    x = 19,802.36/127.12
  6. Step 6: Final answer
    x = 155.78

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