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Finding the Fourth Proportional to 71.63, 107.40 and 28.29

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Solution

The fourth proportional to 71.63, 107.40 and 28.29 is: 42.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.63 : 107.40 = 28.29 : x
  2. Step 2: Convert to fraction form
    71.63/107.40 = 28.29/x
  3. Step 3: Cross multiply
    71.63x = 107.40 × 28.29
  4. Step 4: Simplify right side
    71.63x = 3,038.35
  5. Step 5: Solve for x
    x = 3,038.35/71.63
  6. Step 6: Final answer
    x = 42.42

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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.