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Finding the Fourth Proportional to 119.78, 165.33 and 83.00

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Solution

The fourth proportional to 119.78, 165.33 and 83.00 is: 114.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.78 : 165.33 = 83.00 : x
  2. Step 2: Convert to fraction form
    119.78/165.33 = 83.00/x
  3. Step 3: Cross multiply
    119.78x = 165.33 × 83.00
  4. Step 4: Simplify right side
    119.78x = 13,721.56
  5. Step 5: Solve for x
    x = 13,721.56/119.78
  6. Step 6: Final answer
    x = 114.56

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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.