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Finding the Fourth Proportional to 96.01, 144.00 and 27.52

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Solution

The fourth proportional to 96.01, 144.00 and 27.52 is: 41.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.01 : 144.00 = 27.52 : x
  2. Step 2: Convert to fraction form
    96.01/144.00 = 27.52/x
  3. Step 3: Cross multiply
    96.01x = 144.00 × 27.52
  4. Step 4: Simplify right side
    96.01x = 3,962.02
  5. Step 5: Solve for x
    x = 3,962.02/96.01
  6. Step 6: Final answer
    x = 41.27

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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.