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Finding the Fourth Proportional to 51.12, 76.80 and 27.06

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Solution

The fourth proportional to 51.12, 76.80 and 27.06 is: 40.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.12 : 76.80 = 27.06 : x
  2. Step 2: Convert to fraction form
    51.12/76.80 = 27.06/x
  3. Step 3: Cross multiply
    51.12x = 76.80 × 27.06
  4. Step 4: Simplify right side
    51.12x = 2,078.21
  5. Step 5: Solve for x
    x = 2,078.21/51.12
  6. Step 6: Final answer
    x = 40.65

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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.