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Finding the Fourth Proportional to 63.05, 94.45 and 51.63

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Solution

The fourth proportional to 63.05, 94.45 and 51.63 is: 77.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.05 : 94.45 = 51.63 : x
  2. Step 2: Convert to fraction form
    63.05/94.45 = 51.63/x
  3. Step 3: Cross multiply
    63.05x = 94.45 × 51.63
  4. Step 4: Simplify right side
    63.05x = 4,875.72
  5. Step 5: Solve for x
    x = 4,875.72/63.05
  6. Step 6: Final answer
    x = 77.34

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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.