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Finding the Fourth Proportional to 56.09, 77.23 and 49.77

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Solution

The fourth proportional to 56.09, 77.23 and 49.77 is: 68.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.09 : 77.23 = 49.77 : x
  2. Step 2: Convert to fraction form
    56.09/77.23 = 49.77/x
  3. Step 3: Cross multiply
    56.09x = 77.23 × 49.77
  4. Step 4: Simplify right side
    56.09x = 3,843.74
  5. Step 5: Solve for x
    x = 3,843.74/56.09
  6. Step 6: Final answer
    x = 68.53

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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.