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Finding the Fourth Proportional to 151.63, 209.12 and 96.35

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Solution

The fourth proportional to 151.63, 209.12 and 96.35 is: 132.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.63 : 209.12 = 96.35 : x
  2. Step 2: Convert to fraction form
    151.63/209.12 = 96.35/x
  3. Step 3: Cross multiply
    151.63x = 209.12 × 96.35
  4. Step 4: Simplify right side
    151.63x = 20,147.67
  5. Step 5: Solve for x
    x = 20,147.67/151.63
  6. Step 6: Final answer
    x = 132.88

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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.