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Finding the Fourth Proportional to 120.60, 166.14 and 109.08

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Solution

The fourth proportional to 120.60, 166.14 and 109.08 is: 150.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.60 : 166.14 = 109.08 : x
  2. Step 2: Convert to fraction form
    120.60/166.14 = 109.08/x
  3. Step 3: Cross multiply
    120.60x = 166.14 × 109.08
  4. Step 4: Simplify right side
    120.60x = 18,122.55
  5. Step 5: Solve for x
    x = 18,122.55/120.60
  6. Step 6: Final answer
    x = 150.27

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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.