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Finding the Fourth Proportional to 120.85, 166.75 and 79.33

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Solution

The fourth proportional to 120.85, 166.75 and 79.33 is: 109.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.85 : 166.75 = 79.33 : x
  2. Step 2: Convert to fraction form
    120.85/166.75 = 79.33/x
  3. Step 3: Cross multiply
    120.85x = 166.75 × 79.33
  4. Step 4: Simplify right side
    120.85x = 13,228.28
  5. Step 5: Solve for x
    x = 13,228.28/120.85
  6. Step 6: Final answer
    x = 109.46

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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.