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Finding the Fourth Proportional to 46.82, 64.49 and 35.88

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Solution

The fourth proportional to 46.82, 64.49 and 35.88 is: 49.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.82 : 64.49 = 35.88 : x
  2. Step 2: Convert to fraction form
    46.82/64.49 = 35.88/x
  3. Step 3: Cross multiply
    46.82x = 64.49 × 35.88
  4. Step 4: Simplify right side
    46.82x = 2,313.72
  5. Step 5: Solve for x
    x = 2,313.72/46.82
  6. Step 6: Final answer
    x = 49.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.