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Finding the Fourth Proportional to 127.62, 192.37 and 120.19

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Solution

The fourth proportional to 127.62, 192.37 and 120.19 is: 181.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.62 : 192.37 = 120.19 : x
  2. Step 2: Convert to fraction form
    127.62/192.37 = 120.19/x
  3. Step 3: Cross multiply
    127.62x = 192.37 × 120.19
  4. Step 4: Simplify right side
    127.62x = 23,120.77
  5. Step 5: Solve for x
    x = 23,120.77/127.62
  6. Step 6: Final answer
    x = 181.17

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.