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Finding the Fourth Proportional to 67.27, 92.61 and 58.01

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Solution

The fourth proportional to 67.27, 92.61 and 58.01 is: 79.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.27 : 92.61 = 58.01 : x
  2. Step 2: Convert to fraction form
    67.27/92.61 = 58.01/x
  3. Step 3: Cross multiply
    67.27x = 92.61 × 58.01
  4. Step 4: Simplify right side
    67.27x = 5,371.63
  5. Step 5: Solve for x
    x = 5,371.63/67.27
  6. Step 6: Final answer
    x = 79.85

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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.