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Finding the Fourth Proportional to 155.93, 234.05 and 109.76

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Solution

The fourth proportional to 155.93, 234.05 and 109.76 is: 164.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.93 : 234.05 = 109.76 : x
  2. Step 2: Convert to fraction form
    155.93/234.05 = 109.76/x
  3. Step 3: Cross multiply
    155.93x = 234.05 × 109.76
  4. Step 4: Simplify right side
    155.93x = 25,687.61
  5. Step 5: Solve for x
    x = 25,687.61/155.93
  6. Step 6: Final answer
    x = 164.74

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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.