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Finding the Fourth Proportional to 71.57, 107.15 and 45.92

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Solution

The fourth proportional to 71.57, 107.15 and 45.92 is: 68.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.57 : 107.15 = 45.92 : x
  2. Step 2: Convert to fraction form
    71.57/107.15 = 45.92/x
  3. Step 3: Cross multiply
    71.57x = 107.15 × 45.92
  4. Step 4: Simplify right side
    71.57x = 4,919.56
  5. Step 5: Solve for x
    x = 4,919.56/71.57
  6. Step 6: Final answer
    x = 68.74

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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.