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Finding the Fourth Proportional to 142.71, 213.66 and 131.37

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Solution

The fourth proportional to 142.71, 213.66 and 131.37 is: 196.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.71 : 213.66 = 131.37 : x
  2. Step 2: Convert to fraction form
    142.71/213.66 = 131.37/x
  3. Step 3: Cross multiply
    142.71x = 213.66 × 131.37
  4. Step 4: Simplify right side
    142.71x = 28,068.51
  5. Step 5: Solve for x
    x = 28,068.51/142.71
  6. Step 6: Final answer
    x = 196.68

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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.