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Finding the Fourth Proportional to 51.38, 77.07 and 25.70

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Solution

The fourth proportional to 51.38, 77.07 and 25.70 is: 38.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.38 : 77.07 = 25.70 : x
  2. Step 2: Convert to fraction form
    51.38/77.07 = 25.70/x
  3. Step 3: Cross multiply
    51.38x = 77.07 × 25.70
  4. Step 4: Simplify right side
    51.38x = 1,980.31
  5. Step 5: Solve for x
    x = 1,980.31/51.38
  6. Step 6: Final answer
    x = 38.55

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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.