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Finding the Fourth Proportional to 67.26, 92.77 and 46.54

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Solution

The fourth proportional to 67.26, 92.77 and 46.54 is: 64.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.26 : 92.77 = 46.54 : x
  2. Step 2: Convert to fraction form
    67.26/92.77 = 46.54/x
  3. Step 3: Cross multiply
    67.26x = 92.77 × 46.54
  4. Step 4: Simplify right side
    67.26x = 4,317.52
  5. Step 5: Solve for x
    x = 4,317.52/67.26
  6. Step 6: Final answer
    x = 64.19

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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.