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Finding the Fourth Proportional to 46.76, 70.41 and 40.82

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Solution

The fourth proportional to 46.76, 70.41 and 40.82 is: 61.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.76 : 70.41 = 40.82 : x
  2. Step 2: Convert to fraction form
    46.76/70.41 = 40.82/x
  3. Step 3: Cross multiply
    46.76x = 70.41 × 40.82
  4. Step 4: Simplify right side
    46.76x = 2,874.14
  5. Step 5: Solve for x
    x = 2,874.14/46.76
  6. Step 6: Final answer
    x = 61.47

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.