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Finding the Fourth Proportional to 141.75, 212.60 and 96.39

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Solution

The fourth proportional to 141.75, 212.60 and 96.39 is: 144.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.75 : 212.60 = 96.39 : x
  2. Step 2: Convert to fraction form
    141.75/212.60 = 96.39/x
  3. Step 3: Cross multiply
    141.75x = 212.60 × 96.39
  4. Step 4: Simplify right side
    141.75x = 20,492.03
  5. Step 5: Solve for x
    x = 20,492.03/141.75
  6. Step 6: Final answer
    x = 144.56

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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.