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Finding the Fourth Proportional to 84.24, 126.60 and 63.84

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Solution

The fourth proportional to 84.24, 126.60 and 63.84 is: 95.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.24 : 126.60 = 63.84 : x
  2. Step 2: Convert to fraction form
    84.24/126.60 = 63.84/x
  3. Step 3: Cross multiply
    84.24x = 126.60 × 63.84
  4. Step 4: Simplify right side
    84.24x = 8,082.14
  5. Step 5: Solve for x
    x = 8,082.14/84.24
  6. Step 6: Final answer
    x = 95.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.