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Finding the Fourth Proportional to 51.96, 77.72 and 51.05

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Solution

The fourth proportional to 51.96, 77.72 and 51.05 is: 76.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.96 : 77.72 = 51.05 : x
  2. Step 2: Convert to fraction form
    51.96/77.72 = 51.05/x
  3. Step 3: Cross multiply
    51.96x = 77.72 × 51.05
  4. Step 4: Simplify right side
    51.96x = 3,967.55
  5. Step 5: Solve for x
    x = 3,967.55/51.96
  6. Step 6: Final answer
    x = 76.35

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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.