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Finding the Fourth Proportional to 51.28, 77.04 and 49.52

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Solution

The fourth proportional to 51.28, 77.04 and 49.52 is: 74.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.28 : 77.04 = 49.52 : x
  2. Step 2: Convert to fraction form
    51.28/77.04 = 49.52/x
  3. Step 3: Cross multiply
    51.28x = 77.04 × 49.52
  4. Step 4: Simplify right side
    51.28x = 3,815.02
  5. Step 5: Solve for x
    x = 3,815.02/51.28
  6. Step 6: Final answer
    x = 74.40

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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.