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Finding the Fourth Proportional to 71, 106.46 and 55

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Solution

The fourth proportional to 71, 106.46 and 55 is: 82.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    71 : 106.46 = 55 : x
  2. Step 2: Convert to fraction form
    71/106.46 = 55/x
  3. Step 3: Cross multiply
    71x = 106.46 × 55
  4. Step 4: Simplify right side
    71x = 5,855.30
  5. Step 5: Solve for x
    x = 5,855.30/71
  6. Step 6: Final answer
    x = 82.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.