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Finding the Fourth Proportional to 139.14, 208.54 and 95.80

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Solution

The fourth proportional to 139.14, 208.54 and 95.80 is: 143.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.14 : 208.54 = 95.80 : x
  2. Step 2: Convert to fraction form
    139.14/208.54 = 95.80/x
  3. Step 3: Cross multiply
    139.14x = 208.54 × 95.80
  4. Step 4: Simplify right side
    139.14x = 19,978.13
  5. Step 5: Solve for x
    x = 19,978.13/139.14
  6. Step 6: Final answer
    x = 143.58

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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.