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Finding the Fourth Proportional to 155.07, 232.61 and 109.44

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Solution

The fourth proportional to 155.07, 232.61 and 109.44 is: 164.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.07 : 232.61 = 109.44 : x
  2. Step 2: Convert to fraction form
    155.07/232.61 = 109.44/x
  3. Step 3: Cross multiply
    155.07x = 232.61 × 109.44
  4. Step 4: Simplify right side
    155.07x = 25,456.29
  5. Step 5: Solve for x
    x = 25,456.29/155.07
  6. Step 6: Final answer
    x = 164.16

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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.