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Finding the Fourth Proportional to 51.43, 77.05 and 27.02

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Solution

The fourth proportional to 51.43, 77.05 and 27.02 is: 40.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.43 : 77.05 = 27.02 : x
  2. Step 2: Convert to fraction form
    51.43/77.05 = 27.02/x
  3. Step 3: Cross multiply
    51.43x = 77.05 × 27.02
  4. Step 4: Simplify right side
    51.43x = 2,081.89
  5. Step 5: Solve for x
    x = 2,081.89/51.43
  6. Step 6: Final answer
    x = 40.48

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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.