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Finding the Fourth Proportional to 139.50, 208.74 and 105.16

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Solution

The fourth proportional to 139.50, 208.74 and 105.16 is: 157.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.50 : 208.74 = 105.16 : x
  2. Step 2: Convert to fraction form
    139.50/208.74 = 105.16/x
  3. Step 3: Cross multiply
    139.50x = 208.74 × 105.16
  4. Step 4: Simplify right side
    139.50x = 21,951.10
  5. Step 5: Solve for x
    x = 21,951.10/139.50
  6. Step 6: Final answer
    x = 157.36

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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.