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Finding the Fourth Proportional to 96.42, 144.38 and 75.37

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Solution

The fourth proportional to 96.42, 144.38 and 75.37 is: 112.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.42 : 144.38 = 75.37 : x
  2. Step 2: Convert to fraction form
    96.42/144.38 = 75.37/x
  3. Step 3: Cross multiply
    96.42x = 144.38 × 75.37
  4. Step 4: Simplify right side
    96.42x = 10,881.47
  5. Step 5: Solve for x
    x = 10,881.47/96.42
  6. Step 6: Final answer
    x = 112.85

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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.