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Finding the Fourth Proportional to 51.73, 77.52 and 24.64

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Solution

The fourth proportional to 51.73, 77.52 and 24.64 is: 36.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.73 : 77.52 = 24.64 : x
  2. Step 2: Convert to fraction form
    51.73/77.52 = 24.64/x
  3. Step 3: Cross multiply
    51.73x = 77.52 × 24.64
  4. Step 4: Simplify right side
    51.73x = 1,909.64
  5. Step 5: Solve for x
    x = 1,909.64/51.73
  6. Step 6: Final answer
    x = 36.92

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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.