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Finding the Fourth Proportional to 84, 115.94 and 54.92

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Solution

The fourth proportional to 84, 115.94 and 54.92 is: 75.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    84 : 115.94 = 54.92 : x
  2. Step 2: Convert to fraction form
    84/115.94 = 54.92/x
  3. Step 3: Cross multiply
    84x = 115.94 × 54.92
  4. Step 4: Simplify right side
    84x = 6,366.57
  5. Step 5: Solve for x
    x = 6,366.57/84
  6. Step 6: Final answer
    x = 75.79

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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.