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Finding the Fourth Proportional to 119.02, 164.33 and 95.83

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Solution

The fourth proportional to 119.02, 164.33 and 95.83 is: 132.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.02 : 164.33 = 95.83 : x
  2. Step 2: Convert to fraction form
    119.02/164.33 = 95.83/x
  3. Step 3: Cross multiply
    119.02x = 164.33 × 95.83
  4. Step 4: Simplify right side
    119.02x = 15,747.74
  5. Step 5: Solve for x
    x = 15,747.74/119.02
  6. Step 6: Final answer
    x = 132.31

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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.