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Finding the Fourth Proportional to 120.37, 166.02 and 85.42

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Solution

The fourth proportional to 120.37, 166.02 and 85.42 is: 117.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.37 : 166.02 = 85.42 : x
  2. Step 2: Convert to fraction form
    120.37/166.02 = 85.42/x
  3. Step 3: Cross multiply
    120.37x = 166.02 × 85.42
  4. Step 4: Simplify right side
    120.37x = 14,181.43
  5. Step 5: Solve for x
    x = 14,181.43/120.37
  6. Step 6: Final answer
    x = 117.82

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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.