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Finding the Fourth Proportional to 63.24, 94.89 and 27.16

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Solution

The fourth proportional to 63.24, 94.89 and 27.16 is: 40.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.24 : 94.89 = 27.16 : x
  2. Step 2: Convert to fraction form
    63.24/94.89 = 27.16/x
  3. Step 3: Cross multiply
    63.24x = 94.89 × 27.16
  4. Step 4: Simplify right side
    63.24x = 2,577.21
  5. Step 5: Solve for x
    x = 2,577.21/63.24
  6. Step 6: Final answer
    x = 40.75

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Why These Related Problems?

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