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Finding the Fourth Proportional to 80.84, 111.71 and 76.52

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Solution

The fourth proportional to 80.84, 111.71 and 76.52 is: 105.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.84 : 111.71 = 76.52 : x
  2. Step 2: Convert to fraction form
    80.84/111.71 = 76.52/x
  3. Step 3: Cross multiply
    80.84x = 111.71 × 76.52
  4. Step 4: Simplify right side
    80.84x = 8,548.52
  5. Step 5: Solve for x
    x = 8,548.52/80.84
  6. Step 6: Final answer
    x = 105.74

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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.