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Finding the Fourth Proportional to 149.08, 205.86 and 120.04

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Solution

The fourth proportional to 149.08, 205.86 and 120.04 is: 165.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.08 : 205.86 = 120.04 : x
  2. Step 2: Convert to fraction form
    149.08/205.86 = 120.04/x
  3. Step 3: Cross multiply
    149.08x = 205.86 × 120.04
  4. Step 4: Simplify right side
    149.08x = 24,711.43
  5. Step 5: Solve for x
    x = 24,711.43/149.08
  6. Step 6: Final answer
    x = 165.76

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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.