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Finding the Fourth Proportional to 155.84, 233.88 and 107.78

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Solution

The fourth proportional to 155.84, 233.88 and 107.78 is: 161.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.84 : 233.88 = 107.78 : x
  2. Step 2: Convert to fraction form
    155.84/233.88 = 107.78/x
  3. Step 3: Cross multiply
    155.84x = 233.88 × 107.78
  4. Step 4: Simplify right side
    155.84x = 25,207.59
  5. Step 5: Solve for x
    x = 25,207.59/155.84
  6. Step 6: Final answer
    x = 161.75

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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.