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Finding the Fourth Proportional to 63.41, 94.95 and 51.87

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Solution

The fourth proportional to 63.41, 94.95 and 51.87 is: 77.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.41 : 94.95 = 51.87 : x
  2. Step 2: Convert to fraction form
    63.41/94.95 = 51.87/x
  3. Step 3: Cross multiply
    63.41x = 94.95 × 51.87
  4. Step 4: Simplify right side
    63.41x = 4,925.06
  5. Step 5: Solve for x
    x = 4,925.06/63.41
  6. Step 6: Final answer
    x = 77.67

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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.