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Finding the Fourth Proportional to 51.19, 76.81 and 24.16

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Solution

The fourth proportional to 51.19, 76.81 and 24.16 is: 36.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.19 : 76.81 = 24.16 : x
  2. Step 2: Convert to fraction form
    51.19/76.81 = 24.16/x
  3. Step 3: Cross multiply
    51.19x = 76.81 × 24.16
  4. Step 4: Simplify right side
    51.19x = 1,855.73
  5. Step 5: Solve for x
    x = 1,855.73/51.19
  6. Step 6: Final answer
    x = 36.25

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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.