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Finding the Fourth Proportional to 141.47, 212.61 and 96.09

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Solution

The fourth proportional to 141.47, 212.61 and 96.09 is: 144.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.47 : 212.61 = 96.09 : x
  2. Step 2: Convert to fraction form
    141.47/212.61 = 96.09/x
  3. Step 3: Cross multiply
    141.47x = 212.61 × 96.09
  4. Step 4: Simplify right side
    141.47x = 20,429.69
  5. Step 5: Solve for x
    x = 20,429.69/141.47
  6. Step 6: Final answer
    x = 144.42

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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.