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Finding the Fourth Proportional to 84.84, 127.14 and 36.68

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Solution

The fourth proportional to 84.84, 127.14 and 36.68 is: 54.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.84 : 127.14 = 36.68 : x
  2. Step 2: Convert to fraction form
    84.84/127.14 = 36.68/x
  3. Step 3: Cross multiply
    84.84x = 127.14 × 36.68
  4. Step 4: Simplify right side
    84.84x = 4,663.50
  5. Step 5: Solve for x
    x = 4,663.50/84.84
  6. Step 6: Final answer
    x = 54.97

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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.