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Finding the Fourth Proportional to 76.72, 105.96 and 52.24

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Solution

The fourth proportional to 76.72, 105.96 and 52.24 is: 72.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.72 : 105.96 = 52.24 : x
  2. Step 2: Convert to fraction form
    76.72/105.96 = 52.24/x
  3. Step 3: Cross multiply
    76.72x = 105.96 × 52.24
  4. Step 4: Simplify right side
    76.72x = 5,535.35
  5. Step 5: Solve for x
    x = 5,535.35/76.72
  6. Step 6: Final answer
    x = 72.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.