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Finding the Fourth Proportional to 151.07, 208.47 and 82.07

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Solution

The fourth proportional to 151.07, 208.47 and 82.07 is: 113.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.07 : 208.47 = 82.07 : x
  2. Step 2: Convert to fraction form
    151.07/208.47 = 82.07/x
  3. Step 3: Cross multiply
    151.07x = 208.47 × 82.07
  4. Step 4: Simplify right side
    151.07x = 17,107.68
  5. Step 5: Solve for x
    x = 17,107.68/151.07
  6. Step 6: Final answer
    x = 113.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.