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Finding the Fourth Proportional to 82.36, 113.66 and 49.61

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Solution

The fourth proportional to 82.36, 113.66 and 49.61 is: 68.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.36 : 113.66 = 49.61 : x
  2. Step 2: Convert to fraction form
    82.36/113.66 = 49.61/x
  3. Step 3: Cross multiply
    82.36x = 113.66 × 49.61
  4. Step 4: Simplify right side
    82.36x = 5,639.17
  5. Step 5: Solve for x
    x = 5,639.17/82.36
  6. Step 6: Final answer
    x = 68.47

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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.