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Finding the Fourth Proportional to 71.87, 107.78 and 35.30

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Solution

The fourth proportional to 71.87, 107.78 and 35.30 is: 52.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.87 : 107.78 = 35.30 : x
  2. Step 2: Convert to fraction form
    71.87/107.78 = 35.30/x
  3. Step 3: Cross multiply
    71.87x = 107.78 × 35.30
  4. Step 4: Simplify right side
    71.87x = 3,803.92
  5. Step 5: Solve for x
    x = 3,803.92/71.87
  6. Step 6: Final answer
    x = 52.93

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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.