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Finding the Fourth Proportional to 96.15, 144.16 and 35.27

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Solution

The fourth proportional to 96.15, 144.16 and 35.27 is: 52.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.15 : 144.16 = 35.27 : x
  2. Step 2: Convert to fraction form
    96.15/144.16 = 35.27/x
  3. Step 3: Cross multiply
    96.15x = 144.16 × 35.27
  4. Step 4: Simplify right side
    96.15x = 5,084.52
  5. Step 5: Solve for x
    x = 5,084.52/96.15
  6. Step 6: Final answer
    x = 52.88

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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.