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Finding the Fourth Proportional to 127.39, 192 and 120.32

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Solution

The fourth proportional to 127.39, 192 and 120.32 is: 181.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.39 : 192 = 120.32 : x
  2. Step 2: Convert to fraction form
    127.39/192 = 120.32/x
  3. Step 3: Cross multiply
    127.39x = 192 × 120.32
  4. Step 4: Simplify right side
    127.39x = 23,101.44
  5. Step 5: Solve for x
    x = 23,101.44/127.39
  6. Step 6: Final answer
    x = 181.34

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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.