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Finding the Fourth Proportional to 142.71, 213.93 and 96.95

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Solution

The fourth proportional to 142.71, 213.93 and 96.95 is: 145.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.71 : 213.93 = 96.95 : x
  2. Step 2: Convert to fraction form
    142.71/213.93 = 96.95/x
  3. Step 3: Cross multiply
    142.71x = 213.93 × 96.95
  4. Step 4: Simplify right side
    142.71x = 20,739.44
  5. Step 5: Solve for x
    x = 20,739.44/142.71
  6. Step 6: Final answer
    x = 145.33

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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.