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Finding the Fourth Proportional to 83.84, 115.71 and 54.82

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Solution

The fourth proportional to 83.84, 115.71 and 54.82 is: 75.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.84 : 115.71 = 54.82 : x
  2. Step 2: Convert to fraction form
    83.84/115.71 = 54.82/x
  3. Step 3: Cross multiply
    83.84x = 115.71 × 54.82
  4. Step 4: Simplify right side
    83.84x = 6,343.22
  5. Step 5: Solve for x
    x = 6,343.22/83.84
  6. Step 6: Final answer
    x = 75.66

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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.