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Finding the Fourth Proportional to 92.84, 127.82 and 76.95

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Solution

The fourth proportional to 92.84, 127.82 and 76.95 is: 105.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.84 : 127.82 = 76.95 : x
  2. Step 2: Convert to fraction form
    92.84/127.82 = 76.95/x
  3. Step 3: Cross multiply
    92.84x = 127.82 × 76.95
  4. Step 4: Simplify right side
    92.84x = 9,835.03
  5. Step 5: Solve for x
    x = 9,835.03/92.84
  6. Step 6: Final answer
    x = 105.93

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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.