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Finding the Fourth Proportional to 51.54, 77.20 and 42.42

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Solution

The fourth proportional to 51.54, 77.20 and 42.42 is: 63.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.54 : 77.20 = 42.42 : x
  2. Step 2: Convert to fraction form
    51.54/77.20 = 42.42/x
  3. Step 3: Cross multiply
    51.54x = 77.20 × 42.42
  4. Step 4: Simplify right side
    51.54x = 3,274.82
  5. Step 5: Solve for x
    x = 3,274.82/51.54
  6. Step 6: Final answer
    x = 63.54

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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.