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Finding the Fourth Proportional to 51.80, 77.26 and 48

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Solution

The fourth proportional to 51.80, 77.26 and 48 is: 71.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.80 : 77.26 = 48 : x
  2. Step 2: Convert to fraction form
    51.80/77.26 = 48/x
  3. Step 3: Cross multiply
    51.80x = 77.26 × 48
  4. Step 4: Simplify right side
    51.80x = 3,708.48
  5. Step 5: Solve for x
    x = 3,708.48/51.80
  6. Step 6: Final answer
    x = 71.59

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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.