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Finding the Fourth Proportional to 155.73, 233.32 and 109.88

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Solution

The fourth proportional to 155.73, 233.32 and 109.88 is: 164.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.73 : 233.32 = 109.88 : x
  2. Step 2: Convert to fraction form
    155.73/233.32 = 109.88/x
  3. Step 3: Cross multiply
    155.73x = 233.32 × 109.88
  4. Step 4: Simplify right side
    155.73x = 25,637.20
  5. Step 5: Solve for x
    x = 25,637.20/155.73
  6. Step 6: Final answer
    x = 164.63

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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.