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Finding the Fourth Proportional to 84.96, 127.56 and 76.44

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Solution

The fourth proportional to 84.96, 127.56 and 76.44 is: 114.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.96 : 127.56 = 76.44 : x
  2. Step 2: Convert to fraction form
    84.96/127.56 = 76.44/x
  3. Step 3: Cross multiply
    84.96x = 127.56 × 76.44
  4. Step 4: Simplify right side
    84.96x = 9,750.69
  5. Step 5: Solve for x
    x = 9,750.69/84.96
  6. Step 6: Final answer
    x = 114.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.