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Finding the Fourth Proportional to 96.64, 144.89 and 34.92

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Solution

The fourth proportional to 96.64, 144.89 and 34.92 is: 52.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.64 : 144.89 = 34.92 : x
  2. Step 2: Convert to fraction form
    96.64/144.89 = 34.92/x
  3. Step 3: Cross multiply
    96.64x = 144.89 × 34.92
  4. Step 4: Simplify right side
    96.64x = 5,059.56
  5. Step 5: Solve for x
    x = 5,059.56/96.64
  6. Step 6: Final answer
    x = 52.35

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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.