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Finding the Fourth Proportional to 84.78, 126.63 and 82.08

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Solution

The fourth proportional to 84.78, 126.63 and 82.08 is: 122.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.78 : 126.63 = 82.08 : x
  2. Step 2: Convert to fraction form
    84.78/126.63 = 82.08/x
  3. Step 3: Cross multiply
    84.78x = 126.63 × 82.08
  4. Step 4: Simplify right side
    84.78x = 10,393.79
  5. Step 5: Solve for x
    x = 10,393.79/84.78
  6. Step 6: Final answer
    x = 122.60

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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.