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Finding the Fourth Proportional to 46.71, 69.71 and 40.92

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Solution

The fourth proportional to 46.71, 69.71 and 40.92 is: 61.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.71 : 69.71 = 40.92 : x
  2. Step 2: Convert to fraction form
    46.71/69.71 = 40.92/x
  3. Step 3: Cross multiply
    46.71x = 69.71 × 40.92
  4. Step 4: Simplify right side
    46.71x = 2,852.33
  5. Step 5: Solve for x
    x = 2,852.33/46.71
  6. Step 6: Final answer
    x = 61.06

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.