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Finding the Fourth Proportional to 151.96, 209.76 and 96.70

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Solution

The fourth proportional to 151.96, 209.76 and 96.70 is: 133.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.96 : 209.76 = 96.70 : x
  2. Step 2: Convert to fraction form
    151.96/209.76 = 96.70/x
  3. Step 3: Cross multiply
    151.96x = 209.76 × 96.70
  4. Step 4: Simplify right side
    151.96x = 20,283.79
  5. Step 5: Solve for x
    x = 20,283.79/151.96
  6. Step 6: Final answer
    x = 133.48

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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.