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Finding the Fourth Proportional to 62.72, 86.58 and 46.34

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Solution

The fourth proportional to 62.72, 86.58 and 46.34 is: 63.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.72 : 86.58 = 46.34 : x
  2. Step 2: Convert to fraction form
    62.72/86.58 = 46.34/x
  3. Step 3: Cross multiply
    62.72x = 86.58 × 46.34
  4. Step 4: Simplify right side
    62.72x = 4,012.12
  5. Step 5: Solve for x
    x = 4,012.12/62.72
  6. Step 6: Final answer
    x = 63.97

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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.