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Finding the Fourth Proportional to 180.71, 249.36 and 103.07

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Solution

The fourth proportional to 180.71, 249.36 and 103.07 is: 142.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.71 : 249.36 = 103.07 : x
  2. Step 2: Convert to fraction form
    180.71/249.36 = 103.07/x
  3. Step 3: Cross multiply
    180.71x = 249.36 × 103.07
  4. Step 4: Simplify right side
    180.71x = 25,701.54
  5. Step 5: Solve for x
    x = 25,701.54/180.71
  6. Step 6: Final answer
    x = 142.23

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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.