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Finding the Fourth Proportional to 142.71, 213.59 and 81.75

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Solution

The fourth proportional to 142.71, 213.59 and 81.75 is: 122.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.71 : 213.59 = 81.75 : x
  2. Step 2: Convert to fraction form
    142.71/213.59 = 81.75/x
  3. Step 3: Cross multiply
    142.71x = 213.59 × 81.75
  4. Step 4: Simplify right side
    142.71x = 17,460.57
  5. Step 5: Solve for x
    x = 17,460.57/142.71
  6. Step 6: Final answer
    x = 122.35

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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.