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Finding the Fourth Proportional to 120.50, 166.28 and 71.37

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Solution

The fourth proportional to 120.50, 166.28 and 71.37 is: 98.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.50 : 166.28 = 71.37 : x
  2. Step 2: Convert to fraction form
    120.50/166.28 = 71.37/x
  3. Step 3: Cross multiply
    120.50x = 166.28 × 71.37
  4. Step 4: Simplify right side
    120.50x = 11,867.05
  5. Step 5: Solve for x
    x = 11,867.05/120.50
  6. Step 6: Final answer
    x = 98.48

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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.