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Finding the Fourth Proportional to 84.51, 126.96 and 79.65

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Solution

The fourth proportional to 84.51, 126.96 and 79.65 is: 119.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.51 : 126.96 = 79.65 : x
  2. Step 2: Convert to fraction form
    84.51/126.96 = 79.65/x
  3. Step 3: Cross multiply
    84.51x = 126.96 × 79.65
  4. Step 4: Simplify right side
    84.51x = 10,112.36
  5. Step 5: Solve for x
    x = 10,112.36/84.51
  6. Step 6: Final answer
    x = 119.66

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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.