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Finding the Fourth Proportional to 151.83, 209.47 and 96.56

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Solution

The fourth proportional to 151.83, 209.47 and 96.56 is: 133.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.83 : 209.47 = 96.56 : x
  2. Step 2: Convert to fraction form
    151.83/209.47 = 96.56/x
  3. Step 3: Cross multiply
    151.83x = 209.47 × 96.56
  4. Step 4: Simplify right side
    151.83x = 20,226.10
  5. Step 5: Solve for x
    x = 20,226.10/151.83
  6. Step 6: Final answer
    x = 133.21

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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.