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Finding the Fourth Proportional to 76.79, 105.92 and 52.23

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Solution

The fourth proportional to 76.79, 105.92 and 52.23 is: 72.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.79 : 105.92 = 52.23 : x
  2. Step 2: Convert to fraction form
    76.79/105.92 = 52.23/x
  3. Step 3: Cross multiply
    76.79x = 105.92 × 52.23
  4. Step 4: Simplify right side
    76.79x = 5,531.94
  5. Step 5: Solve for x
    x = 5,531.94/76.79
  6. Step 6: Final answer
    x = 72.04

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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.