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Finding the Fourth Proportional to 144.48, 216.24 and 96.28

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Solution

The fourth proportional to 144.48, 216.24 and 96.28 is: 144.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.48 : 216.24 = 96.28 : x
  2. Step 2: Convert to fraction form
    144.48/216.24 = 96.28/x
  3. Step 3: Cross multiply
    144.48x = 216.24 × 96.28
  4. Step 4: Simplify right side
    144.48x = 20,819.59
  5. Step 5: Solve for x
    x = 20,819.59/144.48
  6. Step 6: Final answer
    x = 144.10

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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.