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Finding the Fourth Proportional to 51.23, 70.77 and 36.75

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Solution

The fourth proportional to 51.23, 70.77 and 36.75 is: 50.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.23 : 70.77 = 36.75 : x
  2. Step 2: Convert to fraction form
    51.23/70.77 = 36.75/x
  3. Step 3: Cross multiply
    51.23x = 70.77 × 36.75
  4. Step 4: Simplify right side
    51.23x = 2,601.20
  5. Step 5: Solve for x
    x = 2,601.20/51.23
  6. Step 6: Final answer
    x = 50.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.