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Finding the Fourth Proportional to 120.37, 166.56 and 102.85

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Solution

The fourth proportional to 120.37, 166.56 and 102.85 is: 142.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.37 : 166.56 = 102.85 : x
  2. Step 2: Convert to fraction form
    120.37/166.56 = 102.85/x
  3. Step 3: Cross multiply
    120.37x = 166.56 × 102.85
  4. Step 4: Simplify right side
    120.37x = 17,130.70
  5. Step 5: Solve for x
    x = 17,130.70/120.37
  6. Step 6: Final answer
    x = 142.32

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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.