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Finding the Fourth Proportional to 144.02, 216.21 and 96.02

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Solution

The fourth proportional to 144.02, 216.21 and 96.02 is: 144.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.02 : 216.21 = 96.02 : x
  2. Step 2: Convert to fraction form
    144.02/216.21 = 96.02/x
  3. Step 3: Cross multiply
    144.02x = 216.21 × 96.02
  4. Step 4: Simplify right side
    144.02x = 20,760.48
  5. Step 5: Solve for x
    x = 20,760.48/144.02
  6. Step 6: Final answer
    x = 144.15

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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.