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Finding the Fourth Proportional to 71.53, 107.32 and 28.21

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Solution

The fourth proportional to 71.53, 107.32 and 28.21 is: 42.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.53 : 107.32 = 28.21 : x
  2. Step 2: Convert to fraction form
    71.53/107.32 = 28.21/x
  3. Step 3: Cross multiply
    71.53x = 107.32 × 28.21
  4. Step 4: Simplify right side
    71.53x = 3,026.99
  5. Step 5: Solve for x
    x = 3,026.99/71.53
  6. Step 6: Final answer
    x = 42.32

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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.