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Finding the Fourth Proportional to 155.97, 234.05 and 83.88

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Solution

The fourth proportional to 155.97, 234.05 and 83.88 is: 125.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.97 : 234.05 = 83.88 : x
  2. Step 2: Convert to fraction form
    155.97/234.05 = 83.88/x
  3. Step 3: Cross multiply
    155.97x = 234.05 × 83.88
  4. Step 4: Simplify right side
    155.97x = 19,632.11
  5. Step 5: Solve for x
    x = 19,632.11/155.97
  6. Step 6: Final answer
    x = 125.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.