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Finding the Fourth Proportional to 46.64, 63.96 and 45.92

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Solution

The fourth proportional to 46.64, 63.96 and 45.92 is: 62.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.64 : 63.96 = 45.92 : x
  2. Step 2: Convert to fraction form
    46.64/63.96 = 45.92/x
  3. Step 3: Cross multiply
    46.64x = 63.96 × 45.92
  4. Step 4: Simplify right side
    46.64x = 2,937.04
  5. Step 5: Solve for x
    x = 2,937.04/46.64
  6. Step 6: Final answer
    x = 62.97

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.