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Finding the Fourth Proportional to 120.04, 180.88 and 119.32

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Solution

The fourth proportional to 120.04, 180.88 and 119.32 is: 179.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.04 : 180.88 = 119.32 : x
  2. Step 2: Convert to fraction form
    120.04/180.88 = 119.32/x
  3. Step 3: Cross multiply
    120.04x = 180.88 × 119.32
  4. Step 4: Simplify right side
    120.04x = 21,582.60
  5. Step 5: Solve for x
    x = 21,582.60/120.04
  6. Step 6: Final answer
    x = 179.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.