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Finding the Fourth Proportional to 140.54, 209.63 and 120.02

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Solution

The fourth proportional to 140.54, 209.63 and 120.02 is: 179.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.54 : 209.63 = 120.02 : x
  2. Step 2: Convert to fraction form
    140.54/209.63 = 120.02/x
  3. Step 3: Cross multiply
    140.54x = 209.63 × 120.02
  4. Step 4: Simplify right side
    140.54x = 25,158.14
  5. Step 5: Solve for x
    x = 25,158.14/140.54
  6. Step 6: Final answer
    x = 179.02

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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.