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Finding the Fourth Proportional to 63.10, 94.64 and 24.56

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Solution

The fourth proportional to 63.10, 94.64 and 24.56 is: 36.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.10 : 94.64 = 24.56 : x
  2. Step 2: Convert to fraction form
    63.10/94.64 = 24.56/x
  3. Step 3: Cross multiply
    63.10x = 94.64 × 24.56
  4. Step 4: Simplify right side
    63.10x = 2,324.36
  5. Step 5: Solve for x
    x = 2,324.36/63.10
  6. Step 6: Final answer
    x = 36.84

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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.