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Finding the Fourth Proportional to 96.95, 145.43 and 32.82

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Solution

The fourth proportional to 96.95, 145.43 and 32.82 is: 49.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.95 : 145.43 = 32.82 : x
  2. Step 2: Convert to fraction form
    96.95/145.43 = 32.82/x
  3. Step 3: Cross multiply
    96.95x = 145.43 × 32.82
  4. Step 4: Simplify right side
    96.95x = 4,772.85
  5. Step 5: Solve for x
    x = 4,772.85/96.95
  6. Step 6: Final answer
    x = 49.23

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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.