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Finding the Fourth Proportional to 77.34, 106.71 and 46.26

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Solution

The fourth proportional to 77.34, 106.71 and 46.26 is: 63.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.34 : 106.71 = 46.26 : x
  2. Step 2: Convert to fraction form
    77.34/106.71 = 46.26/x
  3. Step 3: Cross multiply
    77.34x = 106.71 × 46.26
  4. Step 4: Simplify right side
    77.34x = 4,936.98
  5. Step 5: Solve for x
    x = 4,936.98/77.34
  6. Step 6: Final answer
    x = 63.83

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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.