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Finding the Fourth Proportional to 119.92, 165.36 and 92.16

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Solution

The fourth proportional to 119.92, 165.36 and 92.16 is: 127.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.92 : 165.36 = 92.16 : x
  2. Step 2: Convert to fraction form
    119.92/165.36 = 92.16/x
  3. Step 3: Cross multiply
    119.92x = 165.36 × 92.16
  4. Step 4: Simplify right side
    119.92x = 15,239.58
  5. Step 5: Solve for x
    x = 15,239.58/119.92
  6. Step 6: Final answer
    x = 127.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.