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Finding the Fourth Proportional to 62.94, 94.03 and 51.97

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Solution

The fourth proportional to 62.94, 94.03 and 51.97 is: 77.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.94 : 94.03 = 51.97 : x
  2. Step 2: Convert to fraction form
    62.94/94.03 = 51.97/x
  3. Step 3: Cross multiply
    62.94x = 94.03 × 51.97
  4. Step 4: Simplify right side
    62.94x = 4,886.74
  5. Step 5: Solve for x
    x = 4,886.74/62.94
  6. Step 6: Final answer
    x = 77.64

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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.