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Finding the Fourth Proportional to 55.26, 75.84 and 50.64

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Solution

The fourth proportional to 55.26, 75.84 and 50.64 is: 69.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.26 : 75.84 = 50.64 : x
  2. Step 2: Convert to fraction form
    55.26/75.84 = 50.64/x
  3. Step 3: Cross multiply
    55.26x = 75.84 × 50.64
  4. Step 4: Simplify right side
    55.26x = 3,840.54
  5. Step 5: Solve for x
    x = 3,840.54/55.26
  6. Step 6: Final answer
    x = 69.50

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.