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Finding the Fourth Proportional to 141.85, 212.64 and 96.09

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Solution

The fourth proportional to 141.85, 212.64 and 96.09 is: 144.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.85 : 212.64 = 96.09 : x
  2. Step 2: Convert to fraction form
    141.85/212.64 = 96.09/x
  3. Step 3: Cross multiply
    141.85x = 212.64 × 96.09
  4. Step 4: Simplify right side
    141.85x = 20,432.58
  5. Step 5: Solve for x
    x = 20,432.58/141.85
  6. Step 6: Final answer
    x = 144.04

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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.