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Finding the Fourth Proportional to 83.04, 123.71 and 77.81

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Solution

The fourth proportional to 83.04, 123.71 and 77.81 is: 115.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.04 : 123.71 = 77.81 : x
  2. Step 2: Convert to fraction form
    83.04/123.71 = 77.81/x
  3. Step 3: Cross multiply
    83.04x = 123.71 × 77.81
  4. Step 4: Simplify right side
    83.04x = 9,624.87
  5. Step 5: Solve for x
    x = 9,624.87/83.04
  6. Step 6: Final answer
    x = 115.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.