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Finding the Fourth Proportional to 51.21, 76.78 and 24.14

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Solution

The fourth proportional to 51.21, 76.78 and 24.14 is: 36.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.21 : 76.78 = 24.14 : x
  2. Step 2: Convert to fraction form
    51.21/76.78 = 24.14/x
  3. Step 3: Cross multiply
    51.21x = 76.78 × 24.14
  4. Step 4: Simplify right side
    51.21x = 1,853.47
  5. Step 5: Solve for x
    x = 1,853.47/51.21
  6. Step 6: Final answer
    x = 36.19

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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.