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Finding the Fourth Proportional to 67.73, 93.38 and 47.02

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Solution

The fourth proportional to 67.73, 93.38 and 47.02 is: 64.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.73 : 93.38 = 47.02 : x
  2. Step 2: Convert to fraction form
    67.73/93.38 = 47.02/x
  3. Step 3: Cross multiply
    67.73x = 93.38 × 47.02
  4. Step 4: Simplify right side
    67.73x = 4,390.73
  5. Step 5: Solve for x
    x = 4,390.73/67.73
  6. Step 6: Final answer
    x = 64.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.