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Finding the Fourth Proportional to 56.63, 84.96 and 24.56

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Solution

The fourth proportional to 56.63, 84.96 and 24.56 is: 36.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.63 : 84.96 = 24.56 : x
  2. Step 2: Convert to fraction form
    56.63/84.96 = 24.56/x
  3. Step 3: Cross multiply
    56.63x = 84.96 × 24.56
  4. Step 4: Simplify right side
    56.63x = 2,086.62
  5. Step 5: Solve for x
    x = 2,086.62/56.63
  6. Step 6: Final answer
    x = 36.85

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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.