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Finding the Fourth Proportional to 155.97, 215.14 and 109.35

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Solution

The fourth proportional to 155.97, 215.14 and 109.35 is: 150.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.97 : 215.14 = 109.35 : x
  2. Step 2: Convert to fraction form
    155.97/215.14 = 109.35/x
  3. Step 3: Cross multiply
    155.97x = 215.14 × 109.35
  4. Step 4: Simplify right side
    155.97x = 23,524.89
  5. Step 5: Solve for x
    x = 23,524.89/155.97
  6. Step 6: Final answer
    x = 150.83

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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.