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Finding the Fourth Proportional to 51.92, 77.55 and 43.82

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Solution

The fourth proportional to 51.92, 77.55 and 43.82 is: 65.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.92 : 77.55 = 43.82 : x
  2. Step 2: Convert to fraction form
    51.92/77.55 = 43.82/x
  3. Step 3: Cross multiply
    51.92x = 77.55 × 43.82
  4. Step 4: Simplify right side
    51.92x = 3,398.24
  5. Step 5: Solve for x
    x = 3,398.24/51.92
  6. Step 6: Final answer
    x = 65.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.