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Finding the Fourth Proportional to 151.84, 209.56 and 86.37

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Solution

The fourth proportional to 151.84, 209.56 and 86.37 is: 119.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.84 : 209.56 = 86.37 : x
  2. Step 2: Convert to fraction form
    151.84/209.56 = 86.37/x
  3. Step 3: Cross multiply
    151.84x = 209.56 × 86.37
  4. Step 4: Simplify right side
    151.84x = 18,099.70
  5. Step 5: Solve for x
    x = 18,099.70/151.84
  6. Step 6: Final answer
    x = 119.20

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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.