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Finding the Fourth Proportional to 51.59, 77.41 and 24.54

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Solution

The fourth proportional to 51.59, 77.41 and 24.54 is: 36.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.59 : 77.41 = 24.54 : x
  2. Step 2: Convert to fraction form
    51.59/77.41 = 24.54/x
  3. Step 3: Cross multiply
    51.59x = 77.41 × 24.54
  4. Step 4: Simplify right side
    51.59x = 1,899.64
  5. Step 5: Solve for x
    x = 1,899.64/51.59
  6. Step 6: Final answer
    x = 36.82

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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.