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Finding the Fourth Proportional to 62.78, 86.49 and 46.37

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Solution

The fourth proportional to 62.78, 86.49 and 46.37 is: 63.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.78 : 86.49 = 46.37 : x
  2. Step 2: Convert to fraction form
    62.78/86.49 = 46.37/x
  3. Step 3: Cross multiply
    62.78x = 86.49 × 46.37
  4. Step 4: Simplify right side
    62.78x = 4,010.11
  5. Step 5: Solve for x
    x = 4,010.11/62.78
  6. Step 6: Final answer
    x = 63.88

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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.