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Finding the Fourth Proportional to 139.55, 209.34 and 84.69

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Solution

The fourth proportional to 139.55, 209.34 and 84.69 is: 127.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.55 : 209.34 = 84.69 : x
  2. Step 2: Convert to fraction form
    139.55/209.34 = 84.69/x
  3. Step 3: Cross multiply
    139.55x = 209.34 × 84.69
  4. Step 4: Simplify right side
    139.55x = 17,729.00
  5. Step 5: Solve for x
    x = 17,729.00/139.55
  6. Step 6: Final answer
    x = 127.05

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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.