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Finding the Fourth Proportional to 119.82, 165.32 and 92.14

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Solution

The fourth proportional to 119.82, 165.32 and 92.14 is: 127.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.82 : 165.32 = 92.14 : x
  2. Step 2: Convert to fraction form
    119.82/165.32 = 92.14/x
  3. Step 3: Cross multiply
    119.82x = 165.32 × 92.14
  4. Step 4: Simplify right side
    119.82x = 15,232.12
  5. Step 5: Solve for x
    x = 15,232.12/119.82
  6. Step 6: Final answer
    x = 127.13

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Why These Related Problems?

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