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Finding the Fourth Proportional to 120.56, 166.28 and 83.75

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Solution

The fourth proportional to 120.56, 166.28 and 83.75 is: 115.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.56 : 166.28 = 83.75 : x
  2. Step 2: Convert to fraction form
    120.56/166.28 = 83.75/x
  3. Step 3: Cross multiply
    120.56x = 166.28 × 83.75
  4. Step 4: Simplify right side
    120.56x = 13,924.70
  5. Step 5: Solve for x
    x = 13,924.70/120.56
  6. Step 6: Final answer
    x = 115.50

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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.