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Finding the Fourth Proportional to 96.51, 144.50 and 82.02

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Solution

The fourth proportional to 96.51, 144.50 and 82.02 is: 122.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.51 : 144.50 = 82.02 : x
  2. Step 2: Convert to fraction form
    96.51/144.50 = 82.02/x
  3. Step 3: Cross multiply
    96.51x = 144.50 × 82.02
  4. Step 4: Simplify right side
    96.51x = 11,851.48
  5. Step 5: Solve for x
    x = 11,851.48/96.51
  6. Step 6: Final answer
    x = 122.80

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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.