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Finding the Fourth Proportional to 96.01, 144.01 and 44.75

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Solution

The fourth proportional to 96.01, 144.01 and 44.75 is: 67.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.01 : 144.01 = 44.75 : x
  2. Step 2: Convert to fraction form
    96.01/144.01 = 44.75/x
  3. Step 3: Cross multiply
    96.01x = 144.01 × 44.75
  4. Step 4: Simplify right side
    96.01x = 6,444.86
  5. Step 5: Solve for x
    x = 6,444.86/96.01
  6. Step 6: Final answer
    x = 67.13

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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.