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Finding the Fourth Proportional to 139.24, 208.63 and 95.25

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Solution

The fourth proportional to 139.24, 208.63 and 95.25 is: 142.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.24 : 208.63 = 95.25 : x
  2. Step 2: Convert to fraction form
    139.24/208.63 = 95.25/x
  3. Step 3: Cross multiply
    139.24x = 208.63 × 95.25
  4. Step 4: Simplify right side
    139.24x = 19,872.01
  5. Step 5: Solve for x
    x = 19,872.01/139.24
  6. Step 6: Final answer
    x = 142.72

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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.