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Finding the Fourth Proportional to 82.38, 113.76 and 77.48

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Solution

The fourth proportional to 82.38, 113.76 and 77.48 is: 106.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.38 : 113.76 = 77.48 : x
  2. Step 2: Convert to fraction form
    82.38/113.76 = 77.48/x
  3. Step 3: Cross multiply
    82.38x = 113.76 × 77.48
  4. Step 4: Simplify right side
    82.38x = 8,814.12
  5. Step 5: Solve for x
    x = 8,814.12/82.38
  6. Step 6: Final answer
    x = 106.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.