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Finding the Fourth Proportional to 139.70, 208.61 and 114.07

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Solution

The fourth proportional to 139.70, 208.61 and 114.07 is: 170.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.70 : 208.61 = 114.07 : x
  2. Step 2: Convert to fraction form
    139.70/208.61 = 114.07/x
  3. Step 3: Cross multiply
    139.70x = 208.61 × 114.07
  4. Step 4: Simplify right side
    139.70x = 23,795.36
  5. Step 5: Solve for x
    x = 23,795.36/139.70
  6. Step 6: Final answer
    x = 170.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.