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Finding the Fourth Proportional to 82.69, 114.08 and 49.95

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Solution

The fourth proportional to 82.69, 114.08 and 49.95 is: 68.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.69 : 114.08 = 49.95 : x
  2. Step 2: Convert to fraction form
    82.69/114.08 = 49.95/x
  3. Step 3: Cross multiply
    82.69x = 114.08 × 49.95
  4. Step 4: Simplify right side
    82.69x = 5,698.30
  5. Step 5: Solve for x
    x = 5,698.30/82.69
  6. Step 6: Final answer
    x = 68.91

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