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Finding the Fourth Proportional to 96.42, 144.64 and 24.28

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Solution

The fourth proportional to 96.42, 144.64 and 24.28 is: 36.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.42 : 144.64 = 24.28 : x
  2. Step 2: Convert to fraction form
    96.42/144.64 = 24.28/x
  3. Step 3: Cross multiply
    96.42x = 144.64 × 24.28
  4. Step 4: Simplify right side
    96.42x = 3,511.86
  5. Step 5: Solve for x
    x = 3,511.86/96.42
  6. Step 6: Final answer
    x = 36.42

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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.