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Finding the Fourth Proportional to 55.37, 83.05 and 51.80

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Solution

The fourth proportional to 55.37, 83.05 and 51.80 is: 77.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.37 : 83.05 = 51.80 : x
  2. Step 2: Convert to fraction form
    55.37/83.05 = 51.80/x
  3. Step 3: Cross multiply
    55.37x = 83.05 × 51.80
  4. Step 4: Simplify right side
    55.37x = 4,301.45
  5. Step 5: Solve for x
    x = 4,301.45/55.37
  6. Step 6: Final answer
    x = 77.68

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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.