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Finding the Fourth Proportional to 84.65, 127.16 and 81.92

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Solution

The fourth proportional to 84.65, 127.16 and 81.92 is: 123.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.65 : 127.16 = 81.92 : x
  2. Step 2: Convert to fraction form
    84.65/127.16 = 81.92/x
  3. Step 3: Cross multiply
    84.65x = 127.16 × 81.92
  4. Step 4: Simplify right side
    84.65x = 10,415.90
  5. Step 5: Solve for x
    x = 10,415.90/84.65
  6. Step 6: Final answer
    x = 123.05

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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.