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Finding the Fourth Proportional to 143.96, 216.36 and 96.20

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Solution

The fourth proportional to 143.96, 216.36 and 96.20 is: 144.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.96 : 216.36 = 96.20 : x
  2. Step 2: Convert to fraction form
    143.96/216.36 = 96.20/x
  3. Step 3: Cross multiply
    143.96x = 216.36 × 96.20
  4. Step 4: Simplify right side
    143.96x = 20,813.83
  5. Step 5: Solve for x
    x = 20,813.83/143.96
  6. Step 6: Final answer
    x = 144.58

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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.