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Finding the Fourth Proportional to 51.45, 77.14 and 24.42

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Solution

The fourth proportional to 51.45, 77.14 and 24.42 is: 36.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.45 : 77.14 = 24.42 : x
  2. Step 2: Convert to fraction form
    51.45/77.14 = 24.42/x
  3. Step 3: Cross multiply
    51.45x = 77.14 × 24.42
  4. Step 4: Simplify right side
    51.45x = 1,883.37
  5. Step 5: Solve for x
    x = 1,883.37/51.45
  6. Step 6: Final answer
    x = 36.61

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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.