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Finding the Fourth Proportional to 82.07, 123 and 77.61

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Solution

The fourth proportional to 82.07, 123 and 77.61 is: 116.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.07 : 123 = 77.61 : x
  2. Step 2: Convert to fraction form
    82.07/123 = 77.61/x
  3. Step 3: Cross multiply
    82.07x = 123 × 77.61
  4. Step 4: Simplify right side
    82.07x = 9,546.03
  5. Step 5: Solve for x
    x = 9,546.03/82.07
  6. Step 6: Final answer
    x = 116.32

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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.