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Finding the Fourth Proportional to 155.06, 232.43 and 72.73

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Solution

The fourth proportional to 155.06, 232.43 and 72.73 is: 109.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.06 : 232.43 = 72.73 : x
  2. Step 2: Convert to fraction form
    155.06/232.43 = 72.73/x
  3. Step 3: Cross multiply
    155.06x = 232.43 × 72.73
  4. Step 4: Simplify right side
    155.06x = 16,903.15
  5. Step 5: Solve for x
    x = 16,903.15/155.06
  6. Step 6: Final answer
    x = 109.01

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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.