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Finding the Fourth Proportional to 141.84, 213.08 and 96.26

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Solution

The fourth proportional to 141.84, 213.08 and 96.26 is: 144.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.84 : 213.08 = 96.26 : x
  2. Step 2: Convert to fraction form
    141.84/213.08 = 96.26/x
  3. Step 3: Cross multiply
    141.84x = 213.08 × 96.26
  4. Step 4: Simplify right side
    141.84x = 20,509.53
  5. Step 5: Solve for x
    x = 20,509.53/141.84
  6. Step 6: Final answer
    x = 144.60

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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.