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Finding the Fourth Proportional to 84.47, 126.07 and 82.42

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Solution

The fourth proportional to 84.47, 126.07 and 82.42 is: 123.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.47 : 126.07 = 82.42 : x
  2. Step 2: Convert to fraction form
    84.47/126.07 = 82.42/x
  3. Step 3: Cross multiply
    84.47x = 126.07 × 82.42
  4. Step 4: Simplify right side
    84.47x = 10,390.06
  5. Step 5: Solve for x
    x = 10,390.06/84.47
  6. Step 6: Final answer
    x = 123.01

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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.