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Finding the Fourth Proportional to 139.58, 208.98 and 96.20

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Solution

The fourth proportional to 139.58, 208.98 and 96.20 is: 144.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.58 : 208.98 = 96.20 : x
  2. Step 2: Convert to fraction form
    139.58/208.98 = 96.20/x
  3. Step 3: Cross multiply
    139.58x = 208.98 × 96.20
  4. Step 4: Simplify right side
    139.58x = 20,102.83
  5. Step 5: Solve for x
    x = 20,102.83/139.58
  6. Step 6: Final answer
    x = 144.03

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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.