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Finding the Fourth Proportional to 154.83, 232.23 and 77.81

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Solution

The fourth proportional to 154.83, 232.23 and 77.81 is: 116.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.83 : 232.23 = 77.81 : x
  2. Step 2: Convert to fraction form
    154.83/232.23 = 77.81/x
  3. Step 3: Cross multiply
    154.83x = 232.23 × 77.81
  4. Step 4: Simplify right side
    154.83x = 18,069.82
  5. Step 5: Solve for x
    x = 18,069.82/154.83
  6. Step 6: Final answer
    x = 116.71

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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.