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Finding the Fourth Proportional to 46.96, 64.76 and 37.71

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Solution

The fourth proportional to 46.96, 64.76 and 37.71 is: 52.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.96 : 64.76 = 37.71 : x
  2. Step 2: Convert to fraction form
    46.96/64.76 = 37.71/x
  3. Step 3: Cross multiply
    46.96x = 64.76 × 37.71
  4. Step 4: Simplify right side
    46.96x = 2,441.91
  5. Step 5: Solve for x
    x = 2,441.91/46.96
  6. Step 6: Final answer
    x = 52.00

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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.