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Finding the Fourth Proportional to 63.06, 94.08 and 54.96

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Solution

The fourth proportional to 63.06, 94.08 and 54.96 is: 82.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.06 : 94.08 = 54.96 : x
  2. Step 2: Convert to fraction form
    63.06/94.08 = 54.96/x
  3. Step 3: Cross multiply
    63.06x = 94.08 × 54.96
  4. Step 4: Simplify right side
    63.06x = 5,170.64
  5. Step 5: Solve for x
    x = 5,170.64/63.06
  6. Step 6: Final answer
    x = 82.00

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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.