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Finding the Fourth Proportional to 141.92, 212.98 and 96.38

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Solution

The fourth proportional to 141.92, 212.98 and 96.38 is: 144.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.92 : 212.98 = 96.38 : x
  2. Step 2: Convert to fraction form
    141.92/212.98 = 96.38/x
  3. Step 3: Cross multiply
    141.92x = 212.98 × 96.38
  4. Step 4: Simplify right side
    141.92x = 20,527.01
  5. Step 5: Solve for x
    x = 20,527.01/141.92
  6. Step 6: Final answer
    x = 144.64

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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.