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Finding the Fourth Proportional to 77.43, 106.83 and 52.89

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Solution

The fourth proportional to 77.43, 106.83 and 52.89 is: 72.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.43 : 106.83 = 52.89 : x
  2. Step 2: Convert to fraction form
    77.43/106.83 = 52.89/x
  3. Step 3: Cross multiply
    77.43x = 106.83 × 52.89
  4. Step 4: Simplify right side
    77.43x = 5,650.24
  5. Step 5: Solve for x
    x = 5,650.24/77.43
  6. Step 6: Final answer
    x = 72.97

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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.