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Finding the Fourth Proportional to 68.21, 102.02 and 51.77

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Solution

The fourth proportional to 68.21, 102.02 and 51.77 is: 77.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.21 : 102.02 = 51.77 : x
  2. Step 2: Convert to fraction form
    68.21/102.02 = 51.77/x
  3. Step 3: Cross multiply
    68.21x = 102.02 × 51.77
  4. Step 4: Simplify right side
    68.21x = 5,280.81
  5. Step 5: Solve for x
    x = 5,280.81/68.21
  6. Step 6: Final answer
    x = 77.42

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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.