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Finding the Fourth Proportional to 46.72, 64.38 and 34.42

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Solution

The fourth proportional to 46.72, 64.38 and 34.42 is: 47.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.72 : 64.38 = 34.42 : x
  2. Step 2: Convert to fraction form
    46.72/64.38 = 34.42/x
  3. Step 3: Cross multiply
    46.72x = 64.38 × 34.42
  4. Step 4: Simplify right side
    46.72x = 2,215.96
  5. Step 5: Solve for x
    x = 2,215.96/46.72
  6. Step 6: Final answer
    x = 47.43

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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.