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Finding the Fourth Proportional to 119.74, 165.34 and 92.38

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Solution

The fourth proportional to 119.74, 165.34 and 92.38 is: 127.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.74 : 165.34 = 92.38 : x
  2. Step 2: Convert to fraction form
    119.74/165.34 = 92.38/x
  3. Step 3: Cross multiply
    119.74x = 165.34 × 92.38
  4. Step 4: Simplify right side
    119.74x = 15,274.11
  5. Step 5: Solve for x
    x = 15,274.11/119.74
  6. Step 6: Final answer
    x = 127.56

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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.