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Finding the Fourth Proportional to 96.36, 144.03 and 82.01

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Solution

The fourth proportional to 96.36, 144.03 and 82.01 is: 122.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.36 : 144.03 = 82.01 : x
  2. Step 2: Convert to fraction form
    96.36/144.03 = 82.01/x
  3. Step 3: Cross multiply
    96.36x = 144.03 × 82.01
  4. Step 4: Simplify right side
    96.36x = 11,812.63
  5. Step 5: Solve for x
    x = 11,812.63/96.36
  6. Step 6: Final answer
    x = 122.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.