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Finding the Fourth Proportional to 67.48, 92.97 and 46.72

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Solution

The fourth proportional to 67.48, 92.97 and 46.72 is: 64.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.48 : 92.97 = 46.72 : x
  2. Step 2: Convert to fraction form
    67.48/92.97 = 46.72/x
  3. Step 3: Cross multiply
    67.48x = 92.97 × 46.72
  4. Step 4: Simplify right side
    67.48x = 4,343.56
  5. Step 5: Solve for x
    x = 4,343.56/67.48
  6. Step 6: Final answer
    x = 64.37

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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.