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Finding the Fourth Proportional to 82.97, 114.49 and 49.77

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Solution

The fourth proportional to 82.97, 114.49 and 49.77 is: 68.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.97 : 114.49 = 49.77 : x
  2. Step 2: Convert to fraction form
    82.97/114.49 = 49.77/x
  3. Step 3: Cross multiply
    82.97x = 114.49 × 49.77
  4. Step 4: Simplify right side
    82.97x = 5,698.17
  5. Step 5: Solve for x
    x = 5,698.17/82.97
  6. Step 6: Final answer
    x = 68.68

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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.