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Finding the Fourth Proportional to 84.65, 126.16 and 84.49

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Solution

The fourth proportional to 84.65, 126.16 and 84.49 is: 125.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.65 : 126.16 = 84.49 : x
  2. Step 2: Convert to fraction form
    84.65/126.16 = 84.49/x
  3. Step 3: Cross multiply
    84.65x = 126.16 × 84.49
  4. Step 4: Simplify right side
    84.65x = 10,659.44
  5. Step 5: Solve for x
    x = 10,659.44/84.65
  6. Step 6: Final answer
    x = 125.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.