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Finding the Fourth Proportional to 151.92, 209.92 and 110.60

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Solution

The fourth proportional to 151.92, 209.92 and 110.60 is: 152.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.92 : 209.92 = 110.60 : x
  2. Step 2: Convert to fraction form
    151.92/209.92 = 110.60/x
  3. Step 3: Cross multiply
    151.92x = 209.92 × 110.60
  4. Step 4: Simplify right side
    151.92x = 23,217.15
  5. Step 5: Solve for x
    x = 23,217.15/151.92
  6. Step 6: Final answer
    x = 152.82

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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.