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Finding the Fourth Proportional to 82.13, 123.03 and 77.98

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Solution

The fourth proportional to 82.13, 123.03 and 77.98 is: 116.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.13 : 123.03 = 77.98 : x
  2. Step 2: Convert to fraction form
    82.13/123.03 = 77.98/x
  3. Step 3: Cross multiply
    82.13x = 123.03 × 77.98
  4. Step 4: Simplify right side
    82.13x = 9,593.39
  5. Step 5: Solve for x
    x = 9,593.39/82.13
  6. Step 6: Final answer
    x = 116.81

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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.