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Finding the Fourth Proportional to 120.10, 179.78 and 118.78

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Solution

The fourth proportional to 120.10, 179.78 and 118.78 is: 177.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.10 : 179.78 = 118.78 : x
  2. Step 2: Convert to fraction form
    120.10/179.78 = 118.78/x
  3. Step 3: Cross multiply
    120.10x = 179.78 × 118.78
  4. Step 4: Simplify right side
    120.10x = 21,354.27
  5. Step 5: Solve for x
    x = 21,354.27/120.10
  6. Step 6: Final answer
    x = 177.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.