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Finding the Fourth Proportional to 120.30, 179.01 and 119.90

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Solution

The fourth proportional to 120.30, 179.01 and 119.90 is: 178.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.30 : 179.01 = 119.90 : x
  2. Step 2: Convert to fraction form
    120.30/179.01 = 119.90/x
  3. Step 3: Cross multiply
    120.30x = 179.01 × 119.90
  4. Step 4: Simplify right side
    120.30x = 21,461.80
  5. Step 5: Solve for x
    x = 21,461.80/120.30
  6. Step 6: Final answer
    x = 178.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.