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Finding the Fourth Proportional to 84.56, 126.13 and 76.36

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Solution

The fourth proportional to 84.56, 126.13 and 76.36 is: 113.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.56 : 126.13 = 76.36 : x
  2. Step 2: Convert to fraction form
    84.56/126.13 = 76.36/x
  3. Step 3: Cross multiply
    84.56x = 126.13 × 76.36
  4. Step 4: Simplify right side
    84.56x = 9,630.84
  5. Step 5: Solve for x
    x = 9,630.84/84.56
  6. Step 6: Final answer
    x = 113.90

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