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Finding the Fourth Proportional to 63.38, 94.64 and 51.93

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Solution

The fourth proportional to 63.38, 94.64 and 51.93 is: 77.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.38 : 94.64 = 51.93 : x
  2. Step 2: Convert to fraction form
    63.38/94.64 = 51.93/x
  3. Step 3: Cross multiply
    63.38x = 94.64 × 51.93
  4. Step 4: Simplify right side
    63.38x = 4,914.40
  5. Step 5: Solve for x
    x = 4,914.40/63.38
  6. Step 6: Final answer
    x = 77.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.