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Finding the Fourth Proportional to 149.09, 205.61 and 102.47

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Solution

The fourth proportional to 149.09, 205.61 and 102.47 is: 141.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.09 : 205.61 = 102.47 : x
  2. Step 2: Convert to fraction form
    149.09/205.61 = 102.47/x
  3. Step 3: Cross multiply
    149.09x = 205.61 × 102.47
  4. Step 4: Simplify right side
    149.09x = 21,067.32
  5. Step 5: Solve for x
    x = 21,067.32/149.09
  6. Step 6: Final answer
    x = 141.31

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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.