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Finding the Fourth Proportional to 120.43, 166.10 and 71.27

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Solution

The fourth proportional to 120.43, 166.10 and 71.27 is: 98.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.43 : 166.10 = 71.27 : x
  2. Step 2: Convert to fraction form
    120.43/166.10 = 71.27/x
  3. Step 3: Cross multiply
    120.43x = 166.10 × 71.27
  4. Step 4: Simplify right side
    120.43x = 11,837.12
  5. Step 5: Solve for x
    x = 11,837.12/120.43
  6. Step 6: Final answer
    x = 98.29

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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.