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Finding the Fourth Proportional to 151.72, 209.30 and 96.44

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Solution

The fourth proportional to 151.72, 209.30 and 96.44 is: 133.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.72 : 209.30 = 96.44 : x
  2. Step 2: Convert to fraction form
    151.72/209.30 = 96.44/x
  3. Step 3: Cross multiply
    151.72x = 209.30 × 96.44
  4. Step 4: Simplify right side
    151.72x = 20,185.08
  5. Step 5: Solve for x
    x = 20,185.08/151.72
  6. Step 6: Final answer
    x = 133.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.