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Finding the Fourth Proportional to 120.31, 166.04 and 73.71

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Solution

The fourth proportional to 120.31, 166.04 and 73.71 is: 101.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.31 : 166.04 = 73.71 : x
  2. Step 2: Convert to fraction form
    120.31/166.04 = 73.71/x
  3. Step 3: Cross multiply
    120.31x = 166.04 × 73.71
  4. Step 4: Simplify right side
    120.31x = 12,238.81
  5. Step 5: Solve for x
    x = 12,238.81/120.31
  6. Step 6: Final answer
    x = 101.73

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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.