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Finding the Fourth Proportional to 71.96, 107.85 and 52.70

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Solution

The fourth proportional to 71.96, 107.85 and 52.70 is: 78.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.96 : 107.85 = 52.70 : x
  2. Step 2: Convert to fraction form
    71.96/107.85 = 52.70/x
  3. Step 3: Cross multiply
    71.96x = 107.85 × 52.70
  4. Step 4: Simplify right side
    71.96x = 5,683.06
  5. Step 5: Solve for x
    x = 5,683.06/71.96
  6. Step 6: Final answer
    x = 78.97

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Why These Related Problems?

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