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Finding the Fourth Proportional to 142.79, 213.77 and 96.41

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Solution

The fourth proportional to 142.79, 213.77 and 96.41 is: 144.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.79 : 213.77 = 96.41 : x
  2. Step 2: Convert to fraction form
    142.79/213.77 = 96.41/x
  3. Step 3: Cross multiply
    142.79x = 213.77 × 96.41
  4. Step 4: Simplify right side
    142.79x = 20,610.34
  5. Step 5: Solve for x
    x = 20,610.34/142.79
  6. Step 6: Final answer
    x = 144.35

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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.