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Finding the Fourth Proportional to 155.96, 215.16 and 109.24

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Solution

The fourth proportional to 155.96, 215.16 and 109.24 is: 150.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.96 : 215.16 = 109.24 : x
  2. Step 2: Convert to fraction form
    155.96/215.16 = 109.24/x
  3. Step 3: Cross multiply
    155.96x = 215.16 × 109.24
  4. Step 4: Simplify right side
    155.96x = 23,504.08
  5. Step 5: Solve for x
    x = 23,504.08/155.96
  6. Step 6: Final answer
    x = 150.71

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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.