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Finding the Fourth Proportional to 82.36, 113.66 and 49.19

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Solution

The fourth proportional to 82.36, 113.66 and 49.19 is: 67.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.36 : 113.66 = 49.19 : x
  2. Step 2: Convert to fraction form
    82.36/113.66 = 49.19/x
  3. Step 3: Cross multiply
    82.36x = 113.66 × 49.19
  4. Step 4: Simplify right side
    82.36x = 5,590.49
  5. Step 5: Solve for x
    x = 5,590.49/82.36
  6. Step 6: Final answer
    x = 67.88

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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.