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Finding the Fourth Proportional to 67.24, 92.77 and 46.48

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Solution

The fourth proportional to 67.24, 92.77 and 46.48 is: 64.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.24 : 92.77 = 46.48 : x
  2. Step 2: Convert to fraction form
    67.24/92.77 = 46.48/x
  3. Step 3: Cross multiply
    67.24x = 92.77 × 46.48
  4. Step 4: Simplify right side
    67.24x = 4,311.95
  5. Step 5: Solve for x
    x = 4,311.95/67.24
  6. Step 6: Final answer
    x = 64.13

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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.