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Finding the Fourth Proportional to 96.14, 144.28 and 38.42

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Solution

The fourth proportional to 96.14, 144.28 and 38.42 is: 57.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.14 : 144.28 = 38.42 : x
  2. Step 2: Convert to fraction form
    96.14/144.28 = 38.42/x
  3. Step 3: Cross multiply
    96.14x = 144.28 × 38.42
  4. Step 4: Simplify right side
    96.14x = 5,543.92
  5. Step 5: Solve for x
    x = 5,543.92/96.14
  6. Step 6: Final answer
    x = 57.67

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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.