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Finding the Fourth Proportional to 62.82, 86.64 and 46.42

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Solution

The fourth proportional to 62.82, 86.64 and 46.42 is: 64.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.82 : 86.64 = 46.42 : x
  2. Step 2: Convert to fraction form
    62.82/86.64 = 46.42/x
  3. Step 3: Cross multiply
    62.82x = 86.64 × 46.42
  4. Step 4: Simplify right side
    62.82x = 4,021.83
  5. Step 5: Solve for x
    x = 4,021.83/62.82
  6. Step 6: Final answer
    x = 64.02

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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.