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Finding the Fourth Proportional to 84.78, 127.17 and 23.91

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Solution

The fourth proportional to 84.78, 127.17 and 23.91 is: 35.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.78 : 127.17 = 23.91 : x
  2. Step 2: Convert to fraction form
    84.78/127.17 = 23.91/x
  3. Step 3: Cross multiply
    84.78x = 127.17 × 23.91
  4. Step 4: Simplify right side
    84.78x = 3,040.58
  5. Step 5: Solve for x
    x = 3,040.58/84.78
  6. Step 6: Final answer
    x = 35.87

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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.