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Finding the Fourth Proportional to 62.76, 86.49 and 46.32

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Solution

The fourth proportional to 62.76, 86.49 and 46.32 is: 63.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.76 : 86.49 = 46.32 : x
  2. Step 2: Convert to fraction form
    62.76/86.49 = 46.32/x
  3. Step 3: Cross multiply
    62.76x = 86.49 × 46.32
  4. Step 4: Simplify right side
    62.76x = 4,006.22
  5. Step 5: Solve for x
    x = 4,006.22/62.76
  6. Step 6: Final answer
    x = 63.83

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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.