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Finding the Fourth Proportional to 67.25, 92.75 and 42.70

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Solution

The fourth proportional to 67.25, 92.75 and 42.70 is: 58.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.25 : 92.75 = 42.70 : x
  2. Step 2: Convert to fraction form
    67.25/92.75 = 42.70/x
  3. Step 3: Cross multiply
    67.25x = 92.75 × 42.70
  4. Step 4: Simplify right side
    67.25x = 3,960.21
  5. Step 5: Solve for x
    x = 3,960.21/67.25
  6. Step 6: Final answer
    x = 58.89

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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.