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Finding the Fourth Proportional to 139.08, 208.56 and 95.16

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Solution

The fourth proportional to 139.08, 208.56 and 95.16 is: 142.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.08 : 208.56 = 95.16 : x
  2. Step 2: Convert to fraction form
    139.08/208.56 = 95.16/x
  3. Step 3: Cross multiply
    139.08x = 208.56 × 95.16
  4. Step 4: Simplify right side
    139.08x = 19,846.57
  5. Step 5: Solve for x
    x = 19,846.57/139.08
  6. Step 6: Final answer
    x = 142.70

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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.